A rectangle's area is 6 units larger than its perimeter. The height of the rectangle is 4 units. What is the base of the rectang

Question

3 years ago

10

le in units?

1 answer:

choli [55] · Answer 1 · 2023-01-10T07:56:45+03:00

The area of a rectangle is the product of its dimensions

The base of the rectangle is 7 units

<h3>How to calculate the base of the rectangle</h3>

The area of a rectangle is:

Area (A) = Base (B) * Height (H)

From the question, we have:

A = 6 + P

H = 4

The perimeter of the rectangle is:

P =2 * (B + H)

So, we have:

P =2 * (B + 4)

Substitute P =2 * (B + 4) in A = 6 + P

A = 6 + 2 * (B + 4)

Expand

A = 6 + 2B + 8

Evaluate

A = 2B + 14

The area of the rectangle is:

A = BH

So, we have

A = 4B

Substitute 4B for A in A = 2B + 14

4B = 2B + 14

Subtract 2B from both sides

2B = 14

Divide both sides by 2

B = 7

Hence, the base of the rectangle is 7 units