philipssonicare wrote:
Someone please post a step-by-step solution.
Jazzmin what is the question source?
philipssonicare, i followed this approach,
I thought of solving this with some other approach, but landed up using a fool proof one
a1 and b1 are length and breadth of x respectively
a2 and b2 are length and breadth of y respectively
a1 * b1 = 24 + a2 *b2 (given)
b1 = 4 + b2
l1 = l2 - 2
put l1 and b1 back in given
l2-2 * 4+ b2 = 24 + a2 b2
Just cross multiply LHS to get
4* l2 - 2 * b2 = 32
2 * l2 -16 = b2
Now its given perimeter of Y is 40
2 ( l2 + b2) = 40
l2 + 2 * l2 -16 = 20
3 * l2 = 36
l2 = 12
Use value of l2 in b2
b2 = 24 - 16 = 8
Area of Y = l2 * b2
= 12 * 8
= 96 unit^2
C
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.
Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.