Question

The length of a rectangle is 4 times its width. Write an expression for the area of the rectangle. Let x be the width of the rectangle.

Answer 1

The expression for the area of a rectangle with length 4 times the width and x representing the width is 4x².

Step-by-step explanation:

The question involves writing an expression for the area of a rectangle when the length is 4 times the width, with x representing the width. The formula for the area of a rectangle is length times width, so if the width is x, then the length is 4x.

The length of the rectangle is 4 times its width, so we can write the expression for the area as:

Area = Length x Width

Since the length is 4 times the width, we can substitute 4x for the length in the expression:

Area = (4x) x x

Simplifying, we get:

Area = 4
`x^2`

Answer 2

Area of a rectangle = L×x
L = Length
x = Width

If the length of a rectangle is 4 times the width then, L = 4x

Hence; Area = (4x)x

`Area = {4x}^(2)`