The sides of a rectangle are in the ratio 3 : 7 and its area is 1029 m². Find the dimensions of the rectangle, and then find its perimeter.
Answers
Answered by
136
The Perimeter of the Rectangle is 140 m.
Given :
Ratio of the Rectangle sides = 3 : 7
Area of the Rectangle = 1029 m²
To Find :
The dimensions and Perimeter of the Rectangle
Solution :
Consider the Breadth as 3x
Consider the Length as 7x
★
★ Value of 3x
★ Value of 7x
Breadth = 21 m
Length = 49 m
Perimeter of Rectangle can be found as the dimensions are given.
★
The Perimeter of the Rectangle is 140 m.
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Answered by
22
Let the ratio be x.
3 : 7 = 3x : 7x
Area of rectangle = length × breadth
==> 1029. = 3x ×. 7x
==> 1029. =. 21x²
==> x² = 49
==> x = 7
breadth=7x7=49
length=7x3=21
,perimeter=2(length+breadth)
==> 2(21+49)
==> 2 x70 = 140
perimeter = 140
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