The perimeter of a rectangle is 10 m and its area is 5 1/4 sqm. find the length and breadth
Answers
Answer:
here is your answer hope it helped you
Your answer
Let the length be x and breadth be y. Therefore, 2(x+y)= 10
x+y=5
y= 5 - x
Hence, area = x(5-x)= 5.25
★ ( 5 1/4 can also be written as 5.25) Don't get confused
5x-x² = 5.25
x² - 5x + 5.25 = 0
Now x² - 5x + 21 /4 = 0
4x²-20x +21 = 0 ( Multiply both sides by 4)
4x² - 6x - 14x +21 = 0 (Write -20 as a difference )
2x × (2x-3) -14x + 21 = 0 (Factor out 2x from the expression)
2x × (2x-3) -7 (2x-3) = 0 ( Factor out -7 from the expression)
(2x-3) × (2x-7) = 0
When the product of factors equals 0 , at least one factor is 0
2x-3 = 0
2x-7 = 0
x= 3/2 and x = 7/2
It can be written as 3/2 = 1.5 and 7/2 = 3.5 So Length is 3.5 cm and Breadth is 1.5 cm Hope it helps you
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The above user think that its 51 /4 so the answer came wrong...
actually its 5 and 1 / 4
u know na that We can write 1/4 as 0.25
so 5 and 1 / 4 = 5.25
I know my questions don't have spaces
I will ask in night :)