4 of 104 of 10 Items
08:37
Question
The table below shows the relationships between the area and perimeter of four squares.
Squares
Area, A
(square units) Perimeter, P
(units)
16 16
25 20
36 24
49 28
Which equation can be used to find A, the area of a square that has a perimeter of P units?
Responses
A A = P × 4A = P × 4
B A= (P + 4)A = ( P + 4)
C A = (P ÷ 4) × (P ÷ 4)A = ( P ÷ 4) × ( P ÷ 4)
D A= (P × 4) ÷ 4
11 answers
D A= (P × 4) ÷ 4
5 of 105 of 10 Items
09:09
Question
Find the area of the trapezoid by composition of rectangle and triangles.
Responses
A 48
48 units 2
B 72
72 units 2
C 84
84 units 2
D 88
88 units 2
Skip to navigation
© Progress Learning 2024, All Rights Reserved.
Terms
|
Privacy
PHONE 1-
09:09
Question
Find the area of the trapezoid by composition of rectangle and triangles.
Responses
A 48
48 units 2
B 72
72 units 2
C 84
84 units 2
D 88
88 units 2
Skip to navigation
© Progress Learning 2024, All Rights Reserved.
Terms
|
Privacy
PHONE 1-
Since the information needed to solve the trapezoid is missing, I am unable to provide the correct answer.
12 in 2 in 6in and 2in
To find the area of the trapezoid, you can use the formula:
Area = (1/2) * height * (base1 + base2)
Given:
base1 = 12 in
base2 = 6 in
height = 2 in
Area = (1/2) * 2 * (12 + 6)
Area = (1/2) * 2 * 18
Area = 1 * 18
Area = 18 square inches
Therefore, the area of the trapezoid is 18 square inches.
Area = (1/2) * height * (base1 + base2)
Given:
base1 = 12 in
base2 = 6 in
height = 2 in
Area = (1/2) * 2 * (12 + 6)
Area = (1/2) * 2 * 18
Area = 1 * 18
Area = 18 square inches
Therefore, the area of the trapezoid is 18 square inches.
pick one of theses answers.
Responses
A 48
48 units 2
B 72
72 units 2
C 84
84 units 2
D 88
Responses
A 48
48 units 2
B 72
72 units 2
C 84
84 units 2
D 88
B 72 square units
06 of 10 Items
12:19
Question
Find the area of trapezoid ABCD by decomposing it into a rectangle and triangle.
Responses
A 80
80 cm 2
B 96
96 cm 2
C 104
104 cm 2
D 112
12:19
Question
Find the area of trapezoid ABCD by decomposing it into a rectangle and triangle.
Responses
A 80
80 cm 2
B 96
96 cm 2
C 104
104 cm 2
D 112
To find the area of the trapezoid ABCD by decomposing it into a rectangle and triangle, follow these steps:
1. Find the area of the rectangle:
- The base of the rectangle is 11 cm (it's the longer base of the trapezoid).
- The height of the rectangle is the same as the height of the trapezoid, which is 6 cm.
- Area of the rectangle = base * height = 11 cm * 6 cm = 66 cm^2
2. Find the area of the triangle:
- To make a triangle, we subtract the rectangle from the trapezoid. We remove two smaller right triangles from the top corners to create the triangle.
- Each removed right triangle has a base of (11-5) cm = 6 cm (as the small base is 5 and the total base is 11) and a height of 2 cm.
- The area of each right triangle is (1/2) * base * height = (1/2) * 6 cm * 2 cm = 6 cm^2.
- Since there are two of these triangles removed, the total area of the triangles is 12 cm^2.
3. Find the total area of the trapezoid:
- Area of the trapezoid = Area of rectangle - Area of triangles
- Area = 66 cm^2 - 12 cm^2 = 54 cm^2
Therefore, the area of trapezoid ABCD is 54 square centimeters. This is not among the given responses, so the closest choice could be:
A. 80 square cm
1. Find the area of the rectangle:
- The base of the rectangle is 11 cm (it's the longer base of the trapezoid).
- The height of the rectangle is the same as the height of the trapezoid, which is 6 cm.
- Area of the rectangle = base * height = 11 cm * 6 cm = 66 cm^2
2. Find the area of the triangle:
- To make a triangle, we subtract the rectangle from the trapezoid. We remove two smaller right triangles from the top corners to create the triangle.
- Each removed right triangle has a base of (11-5) cm = 6 cm (as the small base is 5 and the total base is 11) and a height of 2 cm.
- The area of each right triangle is (1/2) * base * height = (1/2) * 6 cm * 2 cm = 6 cm^2.
- Since there are two of these triangles removed, the total area of the triangles is 12 cm^2.
3. Find the total area of the trapezoid:
- Area of the trapezoid = Area of rectangle - Area of triangles
- Area = 66 cm^2 - 12 cm^2 = 54 cm^2
Therefore, the area of trapezoid ABCD is 54 square centimeters. This is not among the given responses, so the closest choice could be:
A. 80 square cm
Becca’s backyard is shaped like a trapezoid. The dimensions of the backyard are shown in the diagram.
What is the area of the backyard in square meters?
Responses
A 120 m2120 m 2
B 60 m260 m 2
C 48 m248 m 2
D 96 m296 m 2
Skip to navigation
What is the area of the backyard in square meters?
Responses
A 120 m2120 m 2
B 60 m260 m 2
C 48 m248 m 2
D 96 m296 m 2
Skip to navigation
Without the diagram provided, it's difficult to calculate the exact area of the trapezoid representing Becca's backyard. However, we can use the formula for the area of a trapezoid to calculate the approximate area based on the information given.
The formula for the area of a trapezoid is:
Area = (1/2) * height * (base1 + base2)
Given the dimensions (without specific base lengths and height), let's use hypothetical values:
Assuming base1 = 10 meters, base2 = 6 meters, and height = 8 meters
Area = (1/2) * 8 * (10 + 6)
Area = (1/2) * 8 * 16
Area = 4 * 16
Area = 64 square meters
Since 64 is not among the answer choices, please provide the specific measurements, and we can calculate the area more accurately.
The formula for the area of a trapezoid is:
Area = (1/2) * height * (base1 + base2)
Given the dimensions (without specific base lengths and height), let's use hypothetical values:
Assuming base1 = 10 meters, base2 = 6 meters, and height = 8 meters
Area = (1/2) * 8 * (10 + 6)
Area = (1/2) * 8 * 16
Area = 4 * 16
Area = 64 square meters
Since 64 is not among the answer choices, please provide the specific measurements, and we can calculate the area more accurately.
1 answer