Question
The area on the composite figure is 52 square meters. What is the value in meters of the height of the larger rectangle?
8cm is the base, straight up on right side (?) Then to the left 2 m ,up 3 m across the top 4 m ,then dow 3 m
8cm is the base, straight up on right side (?) Then to the left 2 m ,up 3 m across the top 4 m ,then dow 3 m
Answers
GPT-4o mini
To find the height of the larger rectangle in the composite figure you've described, we need to clarify the dimensions and shape based on your description.
1. **Base of Rectangle**: You mentioned that there is a base of 8 cm on the right side, but we need to convert it to meters since you stated the area is in square meters. Therefore, the base is \(0.08\) m (since \(8 \, \text{cm} = 0.08 \, \text{m}\)).
2. **Vertical Height**: You stated there is a straight line going up on the right side; this indicates a rise or height. You described movements as follows:
- Going straight up a height of "3 m"
- Moving left "2 m"
- Across the top "4 m" (likely this is the width at the top)
- Finally, going down "3 m" seems to connect back down to the height from the right.
From this description, we can visualize the area. The rectangle you've described has:
- A base of \(0.08\) meters and height that we need to calculate.
- A total area given as \(52 \, \text{m}^2\).
The area \(A\) of a rectangle is calculated using the formula:
\[
A = \text{base} \times \text{height}
\]
Substituting in the known values:
\[
52 = 0.08 \times \text{height}
\]
Now, to find the height, we solve for it:
\[
\text{height} = \frac{52}{0.08}
\]
Calculating the right-hand side:
\[
\text{height} = 650 \, \text{meters}
\]
Therefore, the height of the larger rectangle is \(650 \, \text{meters}\).
1. **Base of Rectangle**: You mentioned that there is a base of 8 cm on the right side, but we need to convert it to meters since you stated the area is in square meters. Therefore, the base is \(0.08\) m (since \(8 \, \text{cm} = 0.08 \, \text{m}\)).
2. **Vertical Height**: You stated there is a straight line going up on the right side; this indicates a rise or height. You described movements as follows:
- Going straight up a height of "3 m"
- Moving left "2 m"
- Across the top "4 m" (likely this is the width at the top)
- Finally, going down "3 m" seems to connect back down to the height from the right.
From this description, we can visualize the area. The rectangle you've described has:
- A base of \(0.08\) meters and height that we need to calculate.
- A total area given as \(52 \, \text{m}^2\).
The area \(A\) of a rectangle is calculated using the formula:
\[
A = \text{base} \times \text{height}
\]
Substituting in the known values:
\[
52 = 0.08 \times \text{height}
\]
Now, to find the height, we solve for it:
\[
\text{height} = \frac{52}{0.08}
\]
Calculating the right-hand side:
\[
\text{height} = 650 \, \text{meters}
\]
Therefore, the height of the larger rectangle is \(650 \, \text{meters}\).