the area of rectangle gets reduced by 18 square units if length is reduced by units and breadth is increased by 2 units. if we increase the length by 10 units and decreases the breadth by 5 units the area will increase by 50 square units find the length and breadth of rectangle required solution
karthik4297:
please check the question.
u have to mention the length unit
i think the amount by which lenght is reduced is not given. could it be 2 units???
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Let me say missing information is : length is reduced by 2 units ... in the first sentence.
L = length B = breadth. L * B = area
(L-2) (B+2) = L B - 18 => L - B = - 7 --- eq 1
(L+10)(B-5) = L B + 50 => - L + 2 B = 20 === eq 2
add equations 1 and 2 to get B = 13
multiply eq 1 by 2 and add to eq 1 to get L = 6
L = length B = breadth. L * B = area
(L-2) (B+2) = L B - 18 => L - B = - 7 --- eq 1
(L+10)(B-5) = L B + 50 => - L + 2 B = 20 === eq 2
add equations 1 and 2 to get B = 13
multiply eq 1 by 2 and add to eq 1 to get L = 6
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