Question

A rectangle has an area of 24 square centimeters. If the length and width of the rectangle are multiplied by 5, what is the area of the new rectangle? OA) 600 cm OB) 240 cm OC) 120 cm OD 550 cm

Answer 1

Answer:

The area of the new rectangle is;

$600\operatorname{cm}^2$

Explanation:

Given that the area of a rectangle is;

$24\operatorname{cm}^2$

Let x and y represent the length and width;

$\begin{gathered} x\times y=24 \\ xy=24 \end{gathered}$

If the length and width of the rectangle are multiplied by 5;

$\begin{gathered} A=5x\times5y \\ A=25xy \end{gathered}$

recall that;

$xy=24$

so, we have;

$\begin{gathered} A=25(24) \\ A=600\operatorname{cm}^2 \end{gathered}$

Therefore, the area of the new rectangle is;

$600\operatorname{cm}^2$