Question
Aaron drew the figure below for a school art project. What is the total area of the figure?
12 in.
4.25 in.
2.75 in.
3 in.
3 in.
Zin. - 2.5 in.
4 in.
+
=
Use the drop-down menus to complete the sentences to determine the total area of the figure.
Click the arrows to choose an answer from each menu.
The trapezoid has a height of 3 inches, a shorter base measuring Choose...
"
a longer base measuring Choose…..
inches. The total area of the entire figure is
Choose...
square inches.
inches, and
Copyright © 2025 by Curriculum Associates. All rights reserved. These materials, or any portion thereof, may not be reproduced or shared in any manner without
12 in.
4.25 in.
2.75 in.
3 in.
3 in.
Zin. - 2.5 in.
4 in.
+
=
Use the drop-down menus to complete the sentences to determine the total area of the figure.
Click the arrows to choose an answer from each menu.
The trapezoid has a height of 3 inches, a shorter base measuring Choose...
"
a longer base measuring Choose…..
inches. The total area of the entire figure is
Choose...
square inches.
inches, and
Copyright © 2025 by Curriculum Associates. All rights reserved. These materials, or any portion thereof, may not be reproduced or shared in any manner without
Answers
Answered by
GPT-4o mini
To determine the area of the figure, we need to calculate the area of the trapezoid and possibly other shapes if they are part of the figure. Since specific values are not provided in the query, let’s work through a typical trapezoid area calculation and fill in the blanks with generic answers.
### Trapezoid Area Formula
The area \(A\) of a trapezoid can be calculated using the formula:
\[
A = \frac{1}{2} \times (b_1 + b_2) \times h
\]
where:
- \(b_1\) is the length of the shorter base,
- \(b_2\) is the length of the longer base,
- \(h\) is the height.
### Given Values
Assuming from your description:
- Height \(h = 3 \, \text{inches}\)
- Shorter base \(b_1 = 2.5 \, \text{inches}\)
- Longer base \(b_2 = 4 \, \text{inches}\)
### Area Calculation
We can substitute the values into the trapezoid area formula:
1. **Calculate the area**:
\[
A = \frac{1}{2} \times (2.5 + 4) \times 3
\]
\[
A = \frac{1}{2} \times 6.5 \times 3
\]
\[
A = \frac{1}{2} \times 19.5 = 9.75 \, \text{square inches}
\]
### Filling in the Sentences
Now we can fill in the sentences based on our calculations:
- The trapezoid has a height of **3 inches**, a shorter base measuring **2.5 inches**, a longer base measuring **4 inches**. The total area of the entire figure is **9.75** square inches.
If you have more specific information regarding additional shapes in the figure or if the values differ, please provide that information for a more precise calculation.
### Trapezoid Area Formula
The area \(A\) of a trapezoid can be calculated using the formula:
\[
A = \frac{1}{2} \times (b_1 + b_2) \times h
\]
where:
- \(b_1\) is the length of the shorter base,
- \(b_2\) is the length of the longer base,
- \(h\) is the height.
### Given Values
Assuming from your description:
- Height \(h = 3 \, \text{inches}\)
- Shorter base \(b_1 = 2.5 \, \text{inches}\)
- Longer base \(b_2 = 4 \, \text{inches}\)
### Area Calculation
We can substitute the values into the trapezoid area formula:
1. **Calculate the area**:
\[
A = \frac{1}{2} \times (2.5 + 4) \times 3
\]
\[
A = \frac{1}{2} \times 6.5 \times 3
\]
\[
A = \frac{1}{2} \times 19.5 = 9.75 \, \text{square inches}
\]
### Filling in the Sentences
Now we can fill in the sentences based on our calculations:
- The trapezoid has a height of **3 inches**, a shorter base measuring **2.5 inches**, a longer base measuring **4 inches**. The total area of the entire figure is **9.75** square inches.
If you have more specific information regarding additional shapes in the figure or if the values differ, please provide that information for a more precise calculation.