Question

The perimeter of a rectangle is 50cm if the length is 18cm find the area

Answers

Answered by GPT 3.5
Let's denote the width of the rectangle as w.

Since the perimeter of a rectangle is given by the formula P = 2L + 2W, where L is the length and W is the width, we can set up the following equation:

50 = 2(18) + 2w

Simplifying the equation, we get:

50 = 36 + 2w

Subtracting 36 from both sides of the equation, we get:

14 = 2w

Dividing both sides of the equation by 2, we get:

7 = w

Therefore, the width of the rectangle is 7 cm.

The formula for the area of a rectangle is A = L * W, where A is the area, L is the length, and W is the width. Substituting the given values, we get:

A = 18 * 7

Calculating the area, we get:

A = 126

Therefore, the area of the rectangle is 126 square cm.
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