we are given that the perimeter of the rectangle is 42cm
the formula for the perimeter of the rectangle is 2(l+b)
where l= length and b=breadth
so,
equating the above two equations we get
2(l+b)=42
(l+b)=42/2
l+b=21..........................(1)
we are given the area of the rectangle to be 98sq cm
the formula for the area of the rectangle is l*b.
so,
equating the above two equations we get
l*b=98
l=98/b
equating the above equation in equation 1 in we get,
98/b +b=21
(98+b²)/b=21
98+b²=21b
b²- 21b + 98 = 0
(b-7)(b-14)=0
thus we have
b-7=0
b=7
and
b-14=0
b=14
equating both the values of b in equation (1)
when b=7
l+b=21
l+7=21
l=21-7
l=14
and
when b=14
l+b=21
l+14=21
l=21-14
l=7
since breath, can't be longer than length, thus b=7 and l=14.
thus the rectangle has a length of 14 cm and a breath of 7cm
Define the length and breadth/width of a rectangle.
Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's length is its longer side, while its width is its shorter side.
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