The perimeter of a rectangle is 15ocm.
If the breadth of the rectangle is 25 cm. Find its lenghta. Also find the area of the rectangle
Answers
Step-by-step explanation:
the perimeter P is equal to the sum of length of four sides. Now since opposite sides are equal then perimeter is equal to twice the sum of length of the L and the breadth B.
P = 2(L + B)
150 = 2( L + 25) = 2L + 50
2L = 150 - 50 = 100
L = 50
A( area ) = L × B = 50 × 25 = 1250 cm^2
Correct Question
The perimeter of a rectangle is 150 cm .
If the breadth of the rectangle is 25 cm , find its length . Also find the area of the rectangle .
Given
Perimeter → 150 cm
Breadth → 25 cm
To find
The length of rectangle
Area of rectangle
Solution
Let the length be ' x '
Perimeter = 2 ( l + b )
Here , perimeter = 150 cm
⇒ 2 × ( x + 25 ) = 150 cm
⇒ x + 25 = 150 / 2 cm
⇒ x + 25 = 75 cm
⇒ x = 75 - 25 = 50 cm
Now , length is 50 cm
Area = 50 cm × 25 cm = 1250 cm²
Answer :
- Length → 50 cm
- Area → 1250 cm²
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