The perimeter of a rectangular plot is 152 metre and its area is 1428 metre square we need to find the length and the breadth of the rectangle cloth represent the problem problem situation in the form of quadratic equation
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ansvmkhitesh051
ansvmkhitesh051
3 weeks ago
Math
Secondary School
+5 pts
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the perimeter of a rectangular plot is 152m and its area is 1428m. we need to find the length and breadth of rectangular plot. represent the situation problem in the form of quadratic equation
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pallelapavankalyan
pallelapavankalyan Ace
Step-by-step explanation:
Let the breadth be x m and the length will be 2x+1 m.
Area =l×b
Area =x(2x+1)=528
2x
2
+x−528=0
2x
2
+33x−32x−528=0
⇒2x(x−16)+33(x−16)=0
⇒(2x+33)(x−16)=0
⇒x=16,
2
33
Breadth =16 m and length =33 m
ii)
Let one number be x then the next number will be x+1
x(x+1)=306
⇒x
2
+x−306=0
⇒x
2
+18x−17x−306=0
⇒x(x+18)−17(x+18)=0
⇒(x+18)(x−17)=0
⇒x=17,−18
The numbers are 17 and 18.
iii)
Let Rohan's present age =x yrs.
Then his mother's present age =x+26 yrs
After 3 yrs
Rohan's age =x+3 yrs
His mother's age =x+29 yrs
(x+3)(x+29)=360