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olga nikolaevna [1]
2 years ago
6

Kayla has a deck that measures 4 feet by 21 feet.

Mathematics
1 answer:
Flura [38]2 years ago
3 0

For the area of the deck to be doubled, he should increase each dimension by 3.

<h3>How to find the dimension increase to double the area?</h3>

The deck is 4 feet by 21 feet.

She wants to increase each dimension by equal lengths so that its area is doubled.

Therefore,

initial area = 4 × 21 = 84 ft²

Hence,

The increase by equal length

width = x + 4

length = x + 21

area = 2(84) = 168 ft²

Therefore,

(x + 4)(x + 21) = 168

x² + 21x + 4x + 84 = 168

x² + 25x + 84 = 168

x² + 25x + 84 - 168 = 0

x² + 25x - 84 = 0

(x + 28) • (x - 3)  = 0

x = -28 or 3

It can only be positive.

Therefore, she should increase each dimension by 3.

learn more on area here: brainly.com/question/23640960

#SPJ1

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