A contractor is building a pool labeled ABCD on the plans. If AC = 5y + 6 and BD = 8y-3, what value of y ensures the pool is a r

Question

2 years ago

14

ectangle?
-9
09
O-3
O3

1 answer:

KIM [24] · Answer 1 · 2023-08-01T07:46:18+03:00

The value of y that ensures the pool is a rectangle is 3. Option D

<h3>How to determine the value</h3>

The formula for perimeter of a rectangle is expressed as;

Perimeter = 2 ( length + width)

It is important to note that parallel sides of a rectangle are congruent, that is, they are equal.

Given the sides as;

5y + 6 = 8y -3

collect like terms

5y - 8y = -3 - 6

-3y = -9

Make 'y' the subject

y = 3

Thus, the value of y that ensures the pool is a rectangle is 3. Option D

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