Question

Rectangle B is a scale drawing of rectangle A using a scale factor of 150%. The area of rectangle A is 32 square units. What is the area of rectangle B?

Answer 1

The area of rectangle B is 72 square units

Explanation:

Here we have that

Rectangle B = 150% of Rectangle A

If the area of rectangle A is 32 square units, therefore, the area of rectangle B will be

Area of rectangle B = L₁×1.5 ×W₁×1.5 = 2.25×L₁×W₁

Where L₁ and W₁ are the length and width of rectangle A and therefore L₁×W₁ is the area of rectangle A

Which gives the area of rectangle B as

Area of rectangle B = 2.25 × (Area of rectangle A)

∴ Area of rectangle B = 2.25 × 32 = 72 square units.

Answer 2

The answer is 72 square units

Explanation:

If rectangle A is scaled by 150% that means the length and breadth of rectangle A were both increased by 1.5(150%) to yield rectangle B.

So, the area of rectangle B is 1.5L x 1.5B = 2.25LB

But, LB = area of rectangle A which is = 32

So, area of rectangle B

= 2.25 x 32

= 72square units.