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

length =
`8(1)/(6)` inches

Explanation:

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

Area of a rectangle = length × width

Given that: Area =
`36(3)/(4)` square inches, width =
`4(1)/(2)` inches, length = l. Thus;

`36(3)/(4)` = l ×
`4(1)/(2)`

`(147)/(4)` = l ×
`(9)/(2)`

divide both sides by
`(9)/(2)`,

l =
`(147)/(4)` ÷
`(9)/(2)`

=
`(147)/(4)` x
`(2)/(9)`

=
`(49)/(6)`

l =
`8(1)/(6)`

Therefore, the length of the rectangle is
`8(1)/(6)` inches.