Question

The length of rectangle B is 25% greater than the length of rectangle A. The width of rectangle B is 3/5 X the width of rectangle A. Find the fraction Area of B/Area of A Give your answer in its simplest form.

Answer 1

Answer:

The value of Area of B/Area of A is 0.75.

Step-by-step explanation:

It is provided that:

• The length of rectangle B is 25% greater than the length of rectangle A.
• The width of rectangle B is 3/5 X the width of rectangle A.

Consider the diagram below.

The area of a rectangle is:

$\text{Area}=\text{Length}\times \text{Breadth}$

Compute the area of rectangle A as follows:

$\text{Area of A}=l\times b$

Compute the area of rectangle B as follows:

$\text{Area of B}=1.25\ l\times \frac{3}{5}\ b=0.75\ (l\times b)$

Compute the value of Area of B/Area of A as follows:

$\frac{\text{Area of B}}{\text{Area of A}}=\frac{0.75\ (l\times b)}{l\times b}=0.75$

Thus, the value of Area of B/Area of A is 0.75.