Solving a word problem involving area

Question

A school is painting its 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 more than 48

 square feet. (The logo has to be seen from all the seats.) Write an inequality that describes the possible base lengths (in feet) of the triangle.

Answer 1

The area of a triangle is 1/2(base)(height) or 1/2bh If we want this to be less than or equal to the area, the equation would look like this.

1/2bh≤Area Plugging in the values we know

1/2b(8)≤48 Simplify

4b≤48 Solve for b by dividing both sides by 4

b≤12