A rectangle and a square have the same
perimeter of 100 m. Find the side of the
square. If the rectangle has a breadth 2 m
less than that of the square, find the
length and area of the rectangle.
Answers
Answer:
Length of rectangle is 27 m. and area is 621 sq m.
Step-by-step explanation:
Given:
Perimeter of square=perimeter of rectangle=100m.
Perimeter of square=4×length of one side
∴ length of one side =perimeter of square/4
=100/4
=25 m.
According to the question,
Breadth of rectangle=length of side of square-2 m.
=25-2
=23 m.
perimeter of rectangle=2(length + breadth)
100=2 ( length+23)
100/2=length+23
50-23=length
27=length
Area of rectangle=length × breadth
=27×23
=621 sq.m.