Question

Write and simplify expressions for the area and the perimeter of a rectangle.

Answer 1

The expression for the perimeter of the rectangle is 14+2x

The expression for the area of rectangle is 5x+10

Explanation:

Given

width (b) = 5

length (l) = x+2

We know,

Perimeter of a rectangle = 2 (l+b)

$Perimeter = 2 (5 + x + 2)\\Perimeter= 2(7 +x)\\Perimeter = 14 +2x$

The expression for the perimeter of the rectangle becomes 14+2x

Area of rectangle = lXb

$Area= 5 (x+2)\\Area = 5x + 10$

The expression for the area of rectangle becomes 5x+10

Therefore,

The expression for the perimeter of the rectangle is 14+2x

The expression for the area of rectangle is 5x+10