how do i solve ?

Question

If the area of the figure below is 97  and the height(h) is 6 in., then the base(b) = in. Round your answer to the nearest tenth if necessary.

Answer 1

The figure is a triangle. The area of a triangle has the formula:

A = (1/2)bh

We are told:

A=97 in²

h = 6 in

The problem asks for the value of b.

Note: the means that this is a right angle, so we know that h is the height.

A = (1/2)bh

97 = (1/2)b(6)

97 = 3b

b = 32.3 in

Also, note that b=32.3 and h=6 means that the figure has a different horizontal and vertical scale.