The length of a rectangle is 4 m greater than the width. The area
of the rectangle is 96 m2. Find
the length and width.

Given :

The length of a rectangle is 4 cm more than its width

The area of the rectangle is 96 cm²

To Find :

Width of the rectangle.

Solution :

Let the length of the rectangle be x cm.

Let the breadth of the rectangle be y cm.

Case 1:

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➣  (1)

Case 2 :

We have the formula for area of the rectangle as follows :

Where,

l = length → x cm

b = breadth → y cm.

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➣

Substitute, x = 96/y in equation 1,

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➣

➣

➣

➣

Divide by minus sign,

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➣

➣

➣

➣

➣

➣

As per assumption, y = breadth of the rectangle.

•°• y = -12 is not acceptable.

Substitute, y = 8 in equation 1,

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➣

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➣

Step-by-step explanation:

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