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  • **** WWUcu De win une given equation.The area of a rectangle gets reduced by 80 sq units if its length is reduced by 5 units andbreadth is increased by 2 units. If we increase the length by 10 units and decrease the breadth by 5 units the area will increa

**** WWUcu De win une given equation.The area of a rectangle gets reduced by 80 sq units if its length is reduced by 5 units andbreadth is increased by 2 units. If we increase the length by 10 units and decrease the breadth by 5 units the area will increase by50 units. find the length and breadth of the rectangle.. plzzzz help me to solve this?

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Area of rectangle is l imes b  where l is the length of the rectangle, b is the breadth of the rectangle

If length reduced by 5 units and breadth  increased by 2 units the area reduced by 80 sq units

(l-5)(b+2)=l imes b -80

l imes b -5 b -10+2l=l imes b -80

2l -5 b =-70.................................eq(1)

If the breadth decreases by 5 units and the length increase by 10 units the area increase by50 units.

(l+10)(b-5)=l imes b +50

l imes b +10b-5l-50=l imes b +50

-5l+10b=100

-2l+4b=40......................................eq(2)

add eq(1) and eq(2)

b=30 unit

l=40 unit

 

Posted by

Deependra Verma

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