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den301095 [7]
3 years ago
12

the rectangle shown has an area of 105 square inches. the width is x+ 16 inches and the length is x. find the dimensions of the

rectangle

Mathematics
1 answer:
Brums [2.3K]3 years ago
6 0

Answer:

Length = 5

Width = 21

Step-by-step explanation:

(x)(x + 16) = 105

x^2 + 16x = 105

x^2 + 16x - 105 = 0

(x - 5) x ( x + 21) = 0

x - 10 = 0

x = 5

x + 21 = 0

x = -21

Now that we have the zeroes.

We have to find the most viable one to put in.

Using -21 would not make sense, so we will use 5.

Plug it in:

x = 5

(5) (5 + 16) = 105

5 ( 21) = 105

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