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3 years ago

The perimeter of a rectangle is 72 in. The base is 3 times the height. Find the area of the rectangle

Mathematics

1 answer:

Dovator [93]3 years ago

7 0

Answer:

243 in²

Step-by-step explanation:

Step 1. Calculate the base and height of the rectangle

We have two conditions:

(1) 2b+ 2h = 72 in

(2) b = 3h Substitute in (1)

2(3h) + 2h = 72 Remove parentheses

6h + 2h = 72 Combine like terms

8h = 72 Divide by 6

h = 9 in Substitute in(2)

b = 3 × 9

b = 27 in

Step 2. Calculate the area of the rectangle

A = bh

A = 27 × 9

A = 243 in²

The area of the rectangle is 243 in².

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