The length of the rectangle is 5 cm greater than is breadth. lf the length is doubled and breadth is tripled than the area of rectangle is increased by the area of original rectangle 70cm. find the area length and breadth of the rectangle. Also,check the solution.
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2
Step-by-step explanation:
the length of rectangular is 5
the breath of rectangular is 14
Answered by
1
Answer:
Let breadth be B, then length L=B+5, and A= area=B×(B+5)
2L×3B=A+70
2×(B+5)×3B=B×(B+5)+70
6B^2+30B=B^2+5B+70
5B^2+25B-70=0
B^2+5B-14=0
B^2+7B-2B-14=0
(B+7)(B-2)=0
This gives B=-7, 2
B can not be negative, so B=2, then L=7 and A=7×2 =14
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