Ja'Miles designs a sign for a store in the shape of a triangle. His design is 7.5 square feet in are, and the triangle has a height of 2.5 feet. What is the length of the base of his sign.

Question

A: 6 feet
B: 0.6 feet
C: 10 feet
D: 3 feet

Answer 1

To find the length of the base of the triangle sign, you can use the formula for the area of a triangle:

Area = (1/2) * base * height

Given:
Area = 7.5 square feet
Height = 2.5 feet

Plugging in the values:

7.5 = (1/2) * base * 2.5
7.5 = 1.25 * base
base = 7.5 / 1.25
base = 6 feet

Therefore, the length of the base of the triangle sign is 6 feet.

Answer: A) 6 feet

Answer 2

Rainee cuts a triangle out of felt. The base of her triangle is 7 inches, and the area of her triangle is 43.75 square inches. What is the height of Rainee’s triangle? Write your answer in decimal form.(1 point)

Answer 3

To find the height of the triangle, you can use the formula for the area of a triangle:

Area = (1/2) * base * height

Given:
Base = 7 inches
Area = 43.75 square inches

Plugging in the values:

43.75 = (1/2) * 7 * height
43.75 = 3.5 * height
height = 43.75 / 3.5
height = 12.5 inches

Therefore, the height of Rainee's triangle is 12.5 inches.

Answer: 12.5 inches.