The length of a rectangular blackboard is 8 cm more than its breadth .If its length is increased by 7 cm and breadth is decreased by 4 cm ,its area remains unchanged .Find the length and breadth of the rectangular blackboard?
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Answer:
L= 17×5/7 B= 1×2/7
Step-by-step explanation:
let breadth be x
length= 8+x
length is increased by 7 cm
= 8+7+x
breadth is decreased by 4cm
= x-4cm
Area remains unchanged
So x+8x= 8+7+x+x-4
=→ 9x-x-x= 8+7+4
=→ 7x = 19
=→ x = 19/7
Length of the rectangular
blackboard = 8+7+x
= 8+7+19/7
= 17×5/7
Breadth= x-4
= 19/7-4
= 1×2/7
Hope my answer helps you.
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