Question

The length of a rectangle is three times the width of the rectangle. The area of the rectangle is 48cm2. Draw the rectangle on the centimetre grid.

Answer 1

The width is 4 cm

The length is 12 cm.

Explanation:

Area of a rectangle

Given a rectangle of width W and length L, its area is calculated as follows:

`A=W\cdot L`

The area of the given rectangle is 48 cm^2, and the length is three times the width, thus:

L = 3W

Substituting into the formula of the area:

`W\cdot L=48`

`W\cdot 3W=48`

Simplifying:

`3W^2=48`

Solving:

`W^2=48/3=16`

`W=√(16)=4`

The width is 4 cm. Find the length:

L=3W=3*4= 12

The length is 12 cm.

The image attached shows the rectangle on the centimeter grid