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3 years ago

2.

Mathematics

1 answer:

vesna_86 [32]3 years ago

5 0

Answer:

Step-by-step explanation:

The rectangle has its sides to be

x - 3 and x - 6

The square has its sides to be x - 7

Area of both the square and rectangle is length multiplied by the breadth, so

Area of rectangle is

x - 3 * x - 6 =

x² - 9x + 18

Area of the square is

x - 7 * x - 7

x² - 14x + 49

From the question, we know that

Area of rectangle + 24 = area of square, so then

x² - 9x + 18 = x² - 14x + 49 + 24

Taking like terms, we know that

14x - 9x = 73 - 18

5x = 55

x = 11

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