Question

a rectangle and a square have the same perimeter hundred find the side of the square if the rectangle has a breath to less than that of the square find the breadth length and area of the rectangle​

Answer 1

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Answer 2

Step-by-step explanation:

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Secondary School Math 5+3 pts

A rectangle and a square have the same perimeter of 100 m. find the side of the square. if the rectangle has a breadth 2m less than that of the square find the length and area of the rectangle.

by 16022000 30.12.2018

Answers

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ani5038

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perimeter of square =4a=100

a=100/4=25

then the breath of rectangle is =25-2=23

so the length is =25+2=27(for keeping the perimeter constant)

then the area of the rectangle is=27×23=621sq. m.

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Solutions :-

Given :

Perimeter of rectangle = Perimeter of Square = 100 m

Find the side of the square :-

Perimeter of Square = 4 × side

=> 100 m = 4 × Side

=> Side = 100/4 = 25 m

Breadth of rectangle = (side of square - 2) m

= (25 - 2) m = 23 m

Let the length of rectangle be x

Find the length of rectangle :-

Perimeter of rectangle = 2(Length +Breadth)

=> 100 = 2(x + 23)

=> 100/2 = x + 23

=> 50 - 23 = x = 27 m

Find the area of rectangle :-

Area of rectangle = (Length × Breadth) sq. units

= (27 × 23) m²

= 621 m²

Hence,

Length of Rectangle = 27 m

Area of rectangle = 621 m²

I hope you understand