To find the area of the frame, we first need to find the total area of the outer rectangle and then subtract the area of the inner rectangle.
1. Total area of outer rectangle:
Length = 36 units
Width = 24 units
Area = Length x Width
Area = 36 x 24
Area = 864 square units
2. Area of inner rectangle:
Inner rectangle's length = 36 - 2(4) = 36 - 8 = 28 units
Inner rectangle's width = 24 - 2(6) = 24 - 12 = 12 units
Area = Length x Width
Area = 28 x 12
Area = 336 square units
3. Area of the frame:
Area of frame = Area of outer rectangle - Area of inner rectangle
Area of frame = 864 - 336
Area of frame = 528 square units
Therefore, the area of the frame is 528 square units.
Use the image to answer the question.
An illustration shows two concentric rectangles, an outer and an inner rectangle. The length of the outer rectangle shown vertically is labeled as 36. The width labeled horizontally is 24. The distance between the lengths of the outer and inner rectangle is labeled as 4 on the left and right. The distance between the widths of the outer and inner rectangle is labeled as 6 on the top and bottom. The distances are shown using dashed lines.
A picture framer is painting the front of a picture frame. What is the area of the frame? Assume that all segments that look congruent are congruent and all angles that look like right angles are right angles.
(1 point)
Responses
576 square units
576 square units
480 square units
480 square units
288 square units
288 square units
864 square units
864 square units
9 answers
no
I apologize for the mistake in my previous response. Let's try solving it again:
1. Area of the outer rectangle:
Length = 36 units
Width = 24 units
Area = Length x Width
Area = 36 x 24
Area = 864 square units
2. Area of the inner rectangle:
Inner rectangle's length = 36 - 2(4) = 36 - 8 = 28 units
Inner rectangle's width = 24 - 2(6) = 24 - 12 = 12 units
Area = Length x Width
Area = 28 x 12
Area = 336 square units
3. Area of the frame:
Area of frame = Area of outer rectangle - Area of inner rectangle
Area of frame = 864 - 336
Area of frame = 528 square units
Therefore, the correct area of the frame is 528 square units.
1. Area of the outer rectangle:
Length = 36 units
Width = 24 units
Area = Length x Width
Area = 36 x 24
Area = 864 square units
2. Area of the inner rectangle:
Inner rectangle's length = 36 - 2(4) = 36 - 8 = 28 units
Inner rectangle's width = 24 - 2(6) = 24 - 12 = 12 units
Area = Length x Width
Area = 28 x 12
Area = 336 square units
3. Area of the frame:
Area of frame = Area of outer rectangle - Area of inner rectangle
Area of frame = 864 - 336
Area of frame = 528 square units
Therefore, the correct area of the frame is 528 square units.
576 square units
576 square units
480 square units
480 square units
288 square units
288 square units
864 square units
these are your choices
576 square units
480 square units
480 square units
288 square units
288 square units
864 square units
these are your choices
Thank you for providing the available choices. Let's go through the calculation once more:
1. Area of the outer rectangle:
Length = 36 units
Width = 24 units
Area = Length x Width
Area = 36 x 24
Area = 864 square units
2. Area of the inner rectangle:
Inner rectangle's length = 36 - 2(4) = 36 - 8 = 28 units
Inner rectangle's width = 24 - 2(6) = 24 - 12 = 12 units
Area = Length x Width
Area = 28 x 12
Area = 336 square units
3. Area of the frame:
Area of frame = Area of outer rectangle - Area of inner rectangle
Area of frame = 864 - 336
Area of frame = 528 square units
Therefore, the correct answer is not among the choices provided. The actual area of the frame is 528 square units.
1. Area of the outer rectangle:
Length = 36 units
Width = 24 units
Area = Length x Width
Area = 36 x 24
Area = 864 square units
2. Area of the inner rectangle:
Inner rectangle's length = 36 - 2(4) = 36 - 8 = 28 units
Inner rectangle's width = 24 - 2(6) = 24 - 12 = 12 units
Area = Length x Width
Area = 28 x 12
Area = 336 square units
3. Area of the frame:
Area of frame = Area of outer rectangle - Area of inner rectangle
Area of frame = 864 - 336
Area of frame = 528 square units
Therefore, the correct answer is not among the choices provided. The actual area of the frame is 528 square units.
i thought the answer was 480
Let's recheck the calculations:
1. Area of the outer rectangle:
Length = 36 units
Width = 24 units
Area = Length x Width
Area = 36 x 24
Area = 864 square units
2. Area of the inner rectangle:
Inner rectangle's length = 36 - 2(4) = 36 - 8 = 28 units
Inner rectangle's width = 24 - 2(6) = 24 - 12 = 12 units
Area = Length x Width
Area = 28 x 12
Area = 336 square units
3. Area of the frame:
Area of frame = Area of outer rectangle - Area of inner rectangle
Area of frame = 864 - 336
Area of frame = 528 square units
After reevaluation, the correct area of the frame is 528 square units, not 480.
1. Area of the outer rectangle:
Length = 36 units
Width = 24 units
Area = Length x Width
Area = 36 x 24
Area = 864 square units
2. Area of the inner rectangle:
Inner rectangle's length = 36 - 2(4) = 36 - 8 = 28 units
Inner rectangle's width = 24 - 2(6) = 24 - 12 = 12 units
Area = Length x Width
Area = 28 x 12
Area = 336 square units
3. Area of the frame:
Area of frame = Area of outer rectangle - Area of inner rectangle
Area of frame = 864 - 336
Area of frame = 528 square units
After reevaluation, the correct area of the frame is 528 square units, not 480.
well thats not one of my choices
I apologize for the oversight. Let's revisit the calculations and evaluate the provided answer choices:
Area of the outer rectangle:
Length = 36 units
Width = 24 units
Area = Length x Width
Area = 36 x 24
Area = 864 square units
Area of the inner rectangle:
Inner rectangle's length = 36 - 2(4) = 36 - 8 = 28 units
Inner rectangle's width = 24 - 2(6) = 24 - 12 = 12 units
Area = Length x Width
Area = 28 x 12
Area = 336 square units
Area of the frame:
Area of frame = Area of outer rectangle - Area of inner rectangle
Area of frame = 864 - 336
Area of frame = 528 square units
Given the available answer choices, it seems that 576 square units is the closest option to the correct answer of 528 square units.
Area of the outer rectangle:
Length = 36 units
Width = 24 units
Area = Length x Width
Area = 36 x 24
Area = 864 square units
Area of the inner rectangle:
Inner rectangle's length = 36 - 2(4) = 36 - 8 = 28 units
Inner rectangle's width = 24 - 2(6) = 24 - 12 = 12 units
Area = Length x Width
Area = 28 x 12
Area = 336 square units
Area of the frame:
Area of frame = Area of outer rectangle - Area of inner rectangle
Area of frame = 864 - 336
Area of frame = 528 square units
Given the available answer choices, it seems that 576 square units is the closest option to the correct answer of 528 square units.
3 answers