SOLUTION: The length of a rectangle is greater than its breadth by 2 cm. If the length is increased by 4 cm and the breadth decreased by 3 cm, the area remains the same. Find the length and
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Question 955329: The length of a rectangle is greater than its breadth by 2 cm. If the length is increased by 4 cm and the breadth decreased by 3 cm, the area remains the same. Find the length and breadth of the rectangle.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
W=breadth; L=length=W+2cm
W*L=(L+4cm)(W-3cm) Substitute for L.
W(W+2cm)=(W+2cm+4cm)(w-3cm)
Subtract W^2 from each side.
Subtract 2Wcm from each side.
Add 18cm^2 to each side.
Divide each side by 1cm.
ANSWER 1: The width is 18 centimeters.
L=W+2cm=18cm+2cm=20cm ANSWER 2: The length is 20 centimeters.
CHECK:
W*L=(L+4cm)(W-3cm)
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