The length of a rectangle pillow is twice its breadth.If its length decreased by 25cm and breadth is increased by 25 cm the area of the rectangle is i creased by 375sqcm.Find length of the rectangle
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Let breadth of pillow = X cm
..... length of pillow. = 2X. cm
area of pillow = X×2X= 2X^2. sqcm
breadth of new pillow = X+25 sqcm
length of new pillow = 2x-25 cm
area of new pillow = (X+25)(2X-25)
================= 2X^2+25X-625
ATQ
area of new pillow - area of old pillow =375
(2X^2 +25X-625) -(2X^2) =375
25X= 1000
X=40
Length of the Rectangular pillow =2X=
2×40=80cm
Breadth_____________________= X= 40 cm
so length and breadth of rectangle are 80cm and 40cm respectively.
..... length of pillow. = 2X. cm
area of pillow = X×2X= 2X^2. sqcm
breadth of new pillow = X+25 sqcm
length of new pillow = 2x-25 cm
area of new pillow = (X+25)(2X-25)
================= 2X^2+25X-625
ATQ
area of new pillow - area of old pillow =375
(2X^2 +25X-625) -(2X^2) =375
25X= 1000
X=40
Length of the Rectangular pillow =2X=
2×40=80cm
Breadth_____________________= X= 40 cm
so length and breadth of rectangle are 80cm and 40cm respectively.
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