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A rectangle has length 14 cm and width 4 cm. What is the area of a square that has the same perimeter as the rectangle?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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A rectangle has length 14 cm and width 4 cm. What is the area of a square that has the
same perimeter as the rectangle?

Expert Solution

Step 1

Given Length of rectangle is 14cm,

Width of rectangle is 4 cm.

We know that perimeter of rectangle is 2(length+ width)

and perimeter of square is 4xside

Given condition,

perimeter of square = perimeter rectangle

2(14+4)=4(side)

2(18)=4(side)

36=4(side)

9=side

therefore side of square is 9cm.

We know that area of square = side x side

Therefore Area of square=9x9

area of square is 81 square cm.

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