Mathematics: 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.

TranslationsStep-by-step explanation:...

The length of a rectangle is three times the width

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04.02.2022

The width is 4 cm

The length is 12 cm.

Step-by-step 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

$W=\sqrt{16}=4$

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

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