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The perimeter of a rectangle is equal to that of a square with side 12m. If the length of the rectangle is 10m. Find its breadth.
Given:
The perimeter of a rectangle is equal to that of a square of side 1$2$m.
The length of the rectangle is $10$m.
To FInd:
The breadth of the rectangle.
Solution:
Side of square (a) = $12$ m
Perimeter of square = $4 a$
$4 (12) = 48$ m.
Perimeter of square = 48 m.
Length of rectangle = 10 m
Breadth = ?
The perimeter of square = Perimeter of the rectangle.
$48$ = $2\times$ (length + breadth)
$48 = 2\times$ ($10$ + breadth)
$\frac{48}{2}$ = (10 + breadth)
$24 = 10 +$ breadth
$24 - 10$ = breadth
$14$ = breadth
Therefore the breadth of the rectangle is $14$ m.
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