The length and width of a rectangle are in the ratio 3:2 and its perimeter is 180 cm, then the area of the rectangle will be
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The length and width of a rectangle are in the ratio 3:2 and its perimeter is 180 cm, then the area of the rectangle will be
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8th
Maths
Linear Equations in One Variable
Solving Linear Equations with Variable on Both Sides
The width of a rectangle is...
Maths
The width of a rectangle is two thirds its length. If the perimeter is 180 metres. Find the dimensions of the rectangle.
Medium
Answer
Correct option is
C
The length of the rectangle is 54 m and that of breadth is 36 m.
Let the length of the rectangle be x m.
Then, width of the rectangle =
3
2x
Given, perimeter of the rectangle =180
⟹2(x+
3
2x
)=180
⟹2(
3
3x+2x
)=180
⟹2(5x)=180×3 ....[By cross-multiplication]
⟹10x=540
⟹x=54
Now, width of the rectangle =
3
2x
=
3
2×54
=36 m
Hence, the length of the rectangle is 54 m and that of breadth is 36 m.
Step-by-step explanation:
given ratio is 3:2 =l:w.
perimeter =180cm
let the length be 3x and breadth be 2x.
perimeter=2 (l+b) = 2 (3x+2x) =180
= 2× 5x =180
=10x = 180
= x = 180÷ 10=18
then, length is 3x = 18× 3= 54cm
breadth=2x= 18× 2=36 cm
area= l×b = 54×36 =1944cm^2
hope it ll help u...