a rectangle is made by a metalic rod of length 10 m .the length of the rectangle is 1m more than its breadth .find its length and breadth?
Answers
Given:-
A rectangle is made from a metallic rod.
That means,
Perimeter of the rectangle = 10 m.
And,
The length of the rectangle is 1 m more than the breadth.
Let the breadth of the rectangle be x m.
So,
It's length = (x + 1) m
We know,
Perimeter of a rectangle = 2 (length + breadth)
Hence,
→ 10 = 2 (x + x + 1)
→ 10 = 2 (2x + 1)
→ 10 = 4x + 2
→ 10 - 2 = 4x
→ 8 = 4x
→ 8/4 = x
→ 2 = x
Hence,
Breadth of the rectangle = x = 2 m
Length of the rectangle = x + 1 = 2 + 1 = 3 m.
Therefore, the dimensions of the rectangle are 3 m and 2 m.
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Length of a rectangle is 3m...
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Asked on December 27, 2019 by
Gurvinder Potukuchi
Length of a rectangle is 3m more than its breadth. It's perimeter is 38 m. Find it's length and breadth.
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ANSWER
Let x be the breadth of rectangle.
Therefore,
Length of rectangle (l)=(x+3)
Perimeter of rectangle =38m
As we know that,
Perimeter of rectangle =2(l+b)
∴2((x+3)+x)=38
⇒2x+3=
2
38
⇒2x=19−3
⇒x=
2
16
=8m
Therefore,
l=x+3=8+3=11m
Hence the length and breadth of rectangle is 11m and 8m respectively.