Answered: A rectangle has length 14 cm and width…

Math

Algebra

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?

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter3: Math Models

Section: Chapter Questions

Problem 436PT: What is the height of a triangle with area 277.2 square inches and base 44 inches?

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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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