Question

The length of a rectangle is three times the width of the rectangle.

The area of the rectangle is 48 cm2
.
Draw the rectangle on a centimetre grid.

Answer 1

Answer:The area of the rectangle is 75 square centimeters.

Let's call the width of the rectangle "w". Then, according to the problem, the length of the rectangle is three times the width, which we can write as "l = 3w".

The formula for the perimeter of a rectangle is: P = 2(l + w)

We know that the perimeter of this rectangle is 40 cm, so we can substitute the expressions we have for "l" and "w" to get:

40 = 2(3w + w)

Simplifying:

40 = 2(4w)

20 = 4w

w = 5

So the width of the rectangle is 5 cm, and the length is three times that, or 15 cm.

To find the area of the rectangle, we use the formula:

A = lw

A = (5)(15)

A = 75

Explanation: