Question

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

52 ft.2
52 ft. squared

169 ft.2
169 ft. squared

26 ft.2
26 ft. squared

144 ft.2
144 ft. squared
Question 2
A)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
Question 3
A)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

32.5 square yards
32.5 square yards

18 square yards
18 square yards

65 square yards
65 square yards

27.5 square yards
27.5 square yards
Question 4
A)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

11 inches
11 inches

1.75 inches
1.75 inches
Question 5
A)
Use the image to answer the question.

An illustration shows a triangle with a base of 20 inches and a perpendicular height of 6 inches. The height is a dashed line from the top vertex to the base, splitting the triangle in half, thus forming two triangles. A right angle symbol is shown where the dashed line meets the base, on the right side.

What is the area of the triangle shown?

(1 point)
Responses

26 square inches
26 square inches

30 square inches
30 square inches

60 square inches
60 square inches

120 square inches
120 square inches

Answer 1

Here are the answers to your questions:

**Question 1**
A) The area of a square is calculated using the formula:
\[
\text{Area} = \text{side}^2
\]
For a square with 13 feet on each side:
\[
\text{Area} = 13 \times 13 = 169 \text{ ft}^2
\]
**Response: 169 ft.²**

---

**Question 2**
A) The rectangle's height is 5 cm, and it's twice as long as it is tall. Therefore, the length is:
\[
\text{Length} = 2 \times \text{Height} = 2 \times 5 = 10 \text{ cm}
\]
Now, we can calculate the area:
\[
\text{Area} = \text{Length} \times \text{Height} = 10 \times 5 = 50 \text{ cm}^2
\]
**Response: 50 cm²**

---

**Question 3**
A) The area of a triangle is calculated with the formula:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
For a triangle with a base of 13 yards and a height of 5 yards:
\[
\text{Area} = \frac{1}{2} \times 13 \times 5 = \frac{65}{2} = 32.5 \text{ square yards}
\]
**Response: 32.5 square yards**

---

**Question 4**
A) The area of a triangle is given as 7 square inches, and the base is 4 inches. We can use the area formula to find the height:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Substituting the known values:
\[
7 = \frac{1}{2} \times 4 \times \text{height}
\]
Solving for height:
\[
7 = 2 \times \text{height} \quad \Rightarrow \quad \text{height} = \frac{7}{2} = 3.5 \text{ inches}
\]
**Response: 3.5 inches**

---

**Question 5**
A) The area of a triangle is calculated using the formula:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
For a triangle with a base of 20 inches and a height of 6 inches:
\[
\text{Area} = \frac{1}{2} \times 20 \times 6 = \frac{120}{2} = 60 \text{ square inches}
\]
**Response: 60 square inches**