Question

Rectangle with width labeled on the right, width equals 4 and 1 over 2 inches. Below the rectangle, it says, length equals question mark. Inside the rectangle, it says area equals 36 and 3 over 4 square inches.

Answer 1

Answer:

length = $8\frac{1}{6}$ inches

Step-by-step explanation:

A rectangle is a quadrilateral which has opposite sides to be equal.

Area of a rectangle = length × width

Given that: Area = $36\frac{3}{4}$ square inches, width = $4\frac{1}{2}$ inches, length = l. Thus;

$36\frac{3}{4}$ = l × $4\frac{1}{2}$

$\frac{147}{4}$  = l × $\frac{9}{2}$

divide both sides by $\frac{9}{2}$,

l = $\frac{147}{4}$  ÷  $\frac{9}{2}$

 = $\frac{147}{4}$   x $\frac{2}{9}$

 = $\frac{49}{6}$

l  = $8\frac{1}{6}$

Therefore, the length of the rectangle is $8\frac{1}{6}$ inches.