Question

A rectangle and a triangle have the same area, 72 . The height of the triangle is also the same as the width of the rectangle. The base of the triangle is 18 in., and the length of the rectangle is 9 in. Find the missing dimension.

Answer 1

Answer:

Part 1) The height of triangle is $h=8\ in$

Part 2) The width of rectangle is $W=8\ in$

Step-by-step explanation:

step 1

Find the dimensions of triangle

The area of triangle is equal to

$A=\frac{1}{2}bh$

we have

$b=18\ in$

$A=72\ in^{2}$

substitute and solve for h

$72=\frac{1}{2}(18)h$

$144=(18)h$

$h=144/18=8\ in$

step 2

Find the missing dimension of rectangle

we have that

The height of the triangle is the same as the width of the rectangle

therefore

$W=h=8\ in$