# The width of the rectangle is 3/4 of its length. find the sides of the rectangle. if the area is 118 cm.

July 29, 2021 | education

| Let’s make an equation.

Let x be the length of the rectangle.

Since the width of the rectangle is 3/4 of the length, then the width of the rectangle is 3/4 * x.

The area of the rectangle is equal to the product of the width and the length.

S = x * 3/4 * x;

It is known that the area of a rectangle is 118 cm.

We get the equation.

118 = x * 3/4 * x;

118 = 3 * x ^ 2/4;

118 * 4 = 3 * x ^ 2;

3 * x ^ 2 = 472;

x ^ 2 = 472/3;

x = + – √ (472/3);

x = √ (472/3);

x = 2 * √ (118/3) is the length of the rectangle.

Let’s find the width:

3/4 * 2 * √ (118/3) = 3/2 * √ (118/3) – the width of the rectangle.

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