SOLUTION: Length of a rectangle is 5 cm less then twice its breadth, if the length is decreased by 3 cm and breadth increased by 2 cm the perimetre is 72. find the area of original rectangle
Algebra.Com
Question 995567: Length of a rectangle is 5 cm less then twice its breadth, if the length is decreased by 3 cm and breadth increased by 2 cm the perimetre is 72. find the area of original rectangle.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let L & W be the original length and width
:
Write an equation for each statement.
:
Length of a rectangle is 5 cm less then twice its breadth,
L = 2W - 5
if the length is decreased by 3 cm and breadth increased by 2 cm the perimeter is 72.
2(L-3) + 2(W+2) = 72
Divide equation by 2
L - 3 + W + 2 = 36
L + W - 1 = 36
L + W = 37
Replace L with (2W-5)
(2W-5) + W = 37
3W = 37 + 5
3W = 42
W = 42/3
W = 14 cm is the original width
Find L
L = 2(14) - 5
L = 28 - 5
L = 23 cm is the original length
:
find the area of original rectangle.
23 * 14 = 322 sq cm
:
RELATED QUESTIONS
a rectangle has a lenght which is 5cm less than twice its breadth. if the length is... (answered by Cromlix)
The length of a rectangle is greater than its breadth by 2 cm. If the length is increased (answered by macston)
Length of a rectangle is greater than its breadth by 3 CM if the length is increased by 9 (answered by josgarithmetic)
the length of rectangle is 3 cm more than the breadth. If the breadth is doubled and the... (answered by macston)
the perimeter of rectangle 240 cm. its length is decreased by 10% & its breadth increased (answered by ankor@dixie-net.com)
the length of rectangle is increased by 2 cm. if length is increased by 4cm and breadth... (answered by CharlesG2)
the perimeter of a rectangular garden is 420 cm . If its length is increased by 20% and... (answered by josgarithmetic,ikleyn)
The length of a rectangle exceeds its breadth by 7 ems. If the length is decreased by 4... (answered by josgarithmetic)
The perimeter of a rectangular field is 140 if the length of field is increased by 2 and... (answered by josgarithmetic)