Question

The length of a rectangle is a inches. Its width is 5 inches less than the length. Find the area and the perimeter of the rectangle.

Answer 1

`Area = 5a - a^2`
`inches\²`

`Perimeter = 10\ inches`

Explanation:

Given

Length = a

Width = 5 - a

Required

Determine the Area and Perimeter;

Calculating Area

Area is calculated as thus;

`Area = Length * Width`

Substitute values for Length and Width

`Area = a * 5 - a`

`Area = a * (5 - a)`

Open Bracket

`Area = 5a - a^2`

Calculating Perimeter

Perimeter is calculated as thus;

`Perimeter = 2 (Length + Width)`

Substitute values for Length and Width

`Perimeter = 2 (a + 5 - a)`

Collect Like Terms

`Perimeter = 2 (5 + a- a)`

`Perimeter = 2 (5)`

Open Bracket

`Perimeter = 10\ inches`