Question

A triangle has height 4 ft and area 32ft. what is the length of its base?

A) 16 ft
B) 8 ft
C) 12 ft
D) 4 ft

Answer 1

To determine the length of the base of a triangle given its area and height, we use the formula for the area of a triangle. By substituting the known values and solving for the base, we find that the base length is 16 feet.

Step-by-step explanation:

The question is asking us to calculate the length of the base of a triangle when given its height and area. The formula to find the area of a triangle is 1/2 × base × height. Given the area is 32 square feet and the height is 4 feet, we can plug in these values into the formula and solve for the base length:

Area = 1/2 × base × height

32 = 1/2 × base × 4

To solve for the base, we first multiply both sides by 2 to eliminate the fraction:

64 = base × 4

Then, we divide both sides by 4 to isolate the base:

base = 64 / 4

base = 16 feet

Therefore, the correct answer is A) 16 feet.