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 a triangle to be 4 feet. The area of the logo must be less than 12 ft.². Write an inequality that describes a possible base length (in feet) of the triangle. Use b for the base length of the triangular logo.

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Answer 1

The base of the logo must be less than 6 feets but greter than 0 feet, 0<b<6.

Explanation:

The formula of area of triangle is A = 1/2×b×h where b is the base and h is the height. It is given that the height of the logo is 4ft and the area is lesa than 12 ft². Using this information, we can make an inequality exrpression :

Let h = 4ft

1/2 × b × 4 < 12

1/2 × b < 12 ÷ 4

1/2 × b < 3

b < 3 ÷ 1/2

b < 6 ft