Problem 503

 

A rectangle ABCD has the following sides. Find x and y.

503

 

Solution:-

In a rectangle opposite sides are congruent.

So

AB = DC and AD = BC

Put the given values.

y = 3 …(1) , and  4 = y – x …(2)

Substitute the value of y from equation (2) to equation (2)

4 = 3 – x => x = -1

Put the value of x = -1 in the equation (2)

4 = y – (-1) => y = 3

So the value of x = -1 and y = 3

 

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