Question

a school is painting it's logo in the shape of a triangle in the middle of its sports field. the school wants the height of the triangle to be 8 feet. the area of the logo must be at least 36 square feet.

Answer 1

The base of this triangle must be at least 9 feet.

Base ≥ 9 feet.

Step-by-step explanation

We are given the required height of the the triangle and the minimum requirement for the area of the triangle. We are then asked to solve for the inequality that represents the possible lengths of the base of the triangle.

The area of a triangle is given as

Area = ½ × Height × Base

For this triangle,

Height = 8 feet

Area ≥ 36 square feet (At least 36 square feet).

Base = ?

½ × Height × Base ≥ 36

½ × 8 × Base ≥ 36

4 (Base) ≥ 36

Divide both sides by 4

Base ≥ 9 feet.

Hope this Helps!!!