If the perimeter of a rectangle is 46m and its area is 120m². Find its Length and Breadth ?step by step solution and don't give irrelevant answer. if you don't know not write anything.
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If the perimeter of a rectangle is 46m and its area is 120m². Find its Length and Breadth ?step by step solution and don't give irrelevant answer. if you don't know not write anything.
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Step-by-step explanation:
Perimeter=46m. Area=120m²
perimeter of rectangle
=>2(L+B)=46
=>(L+B)=46/2
=>(L+B)=23
=>B=23-L (eq.1)
Now,area of rectangle,
=>LxB=120
=>Lx(23-L)=120.(by putting the value of B from eq1)
=>23xL-LxL=120
=>23L-L²=120
=>L²-23L+120=0
=>L²-15L-8L+120= 0
=>L(L-15)-8(L-15)= 0
=>(L-8)(L-15)= 0
=>L =8, 15
Hence, length of the rectangle is 15m and
breadth = 8 m.
or,if the length is breadth of rectangle is larger than length then,
length=8m and breadth=15.
hope the answer is helpful
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