The combined area of a square and a rectangle is 249 square centimeters. the width of the rectangle is 3 centimeters more than the length of a side of the square, and the length of the rectangle is 2 centimeters more than its width. find the dimensions of the square and the rectangle.

Question

Jan Wiley

Mathematics

12 September, 00:25

The combined area of a square and a rectangle is 249 square centimeters. the width of the rectangle is 3 centimeters more than the length of a side of the square, and the length of the rectangle is 2 centimeters more than its width. find the dimensions of the square and the rectangle.

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Answers (1)

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Damien Montoya · Answer 1

Area of square = x^2

Area of rectangle = xy

Let x = side of square

Let x + 3 = width of rectangle

Let x + 5 = length of rectangle = y

Here is the set up:

x^2 + (x + 3) (x + 5) = 249

You finish.