length of rectangle is 14cm. more than its breadth. If the perimeter is 448cm. find the dimensions of the rectangle
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AnswEr :-
- Breadth of the rectangle is 105cm.
- Length of the rectangle is 119cm.
Given :-
- Length of rectangle is 14cm more than its Breadth. Perimeter of the rectangle is 448cm.
To Find :-
- Dimensions of the rectangle.
SoluTion :-
Let
- Breadth of the rectangle be x
- Length of the rectangle be x + 14
Perimeter of the rectangle is 448cm.
We know that the formula for finding the perimeter of the rectangle is
2 (l + b)
Where,
- l = length
- b = breadth
According to question :-
2 (x + x + 14) = 448
→ 2 (2x + 14) = 448
→ 2x + 14 = 448/2
→ 2x + 14 = 224
→ 2x = 224 - 14
→ 2x = 210
→ x = 210/2
→ x = 105
- Breadth of the rectangle, x = 105cm
- Length of the rectangle, 14 + x = 14 + 105= 119cm
Hence, the dimensions of the rectangle are 105cm and 119cm respectively.
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