Question

What is the area in square feet of a square 13 feet on each side?(1 point)
Responses

26 ft.2
26 ft. squared

144 ft.2
144 ft. squared

169 ft.2
169 ft. squared

52 ft.2

A rectangle is twice as long as it is tall. Its height is 5 centimeters. What is its area in square centimeters?(1 point)
Responses

50 cm2
50 cm squared

12.5 cm2
12.5 cm squared

25 cm2
25 cm squared

30 cm2
30 cm squared

Use the formula for the area of a triangle to determine the area of a triangle with base equal to 13 yards and height equal to 5 yards. (1 point)
Responses

65 square yards
65 square yards

27.5 square yards
27.5 square yards

18 square yards
18 square yards

32.5 square yards

Marigold measures the length and height of a triangular sandwich. If the sandwich’s base measures 4 inches and its area measures 7 square inches, what is the height in inches of the sandwich? (1 point)
Responses

14 inches
14 inches

3.5 inches
3.5 inches

1.75 inches
1.75 inches

11 inches

Answer 1

Let's solve each problem step by step.

1. **Area of a square with each side measuring 13 feet:**
The area of a square is calculated as:
\[
\text{Area} = \text{side}^2
\]
So, for a square with a side of 13 feet:
\[
\text{Area} = 13^2 = 169 \text{ ft}^2
\]
Therefore, the correct response is **169 ft. squared**.

2. **Area of a rectangle that is twice as long as it is tall, with height 5 centimeters:**
If the height is 5 cm and the length is twice the height:
\[
\text{Length} = 2 \times 5 = 10 \text{ cm}
\]
The area is given by:
\[
\text{Area} = \text{Length} \times \text{Height} = 10 \times 5 = 50 \text{ cm}^2
\]
Therefore, the correct response is **50 cm squared**.

3. **Area of a triangle with base 13 yards and height 5 yards:**
The area of a triangle is calculated as:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
For a triangle with a base of 13 yards and a height of 5 yards:
\[
\text{Area} = \frac{1}{2} \times 13 \times 5 = \frac{65}{2} = 32.5 \text{ square yards}
\]
Therefore, the correct response is **32.5 square yards**.

4. **Finding the height of a triangular sandwich with base 4 inches and area 7 square inches:**
Using the area formula for a triangle:
\[
7 = \frac{1}{2} \times \text{base} \times \text{height}
\]
Substituting the base value:
\[
7 = \frac{1}{2} \times 4 \times \text{height}
\]
Rearranging gives:
\[
7 = 2 \times \text{height}
\]
\[
\text{height} = \frac{7}{2} = 3.5 \text{ inches}
\]
Therefore, the correct response is **3.5 inches**.

### Answers summary:
1. 169 ft. squared
2. 50 cm squared
3. 32.5 square yards
4. 3.5 inches