When the length of a rectangle is reduced by 6 units and the width is increased by 2 units, its area is reduced by 12 square units than the original. If the area of the original rectangle is 192 square units, find the length and the width of it
Answers
Answered by
1
Answer:
length=24units
width=8 units
Step-by-step explanation:
L= length
W= width
Initially area L*W=192
also given (L-6)*(W+2)=180
solving
LW+2L-6W-12=180
192+2L-6W-12=180
180+2L-6W=180
2l=6w
L=3W
we know L*W=192
so 3W*W=192
W*W=64
W=8
and L=3W=24
Answered by
0
Answer:
length=24units
width=8 units
Step-by-step explanation:
L= length
W= width
Initially area L*W=192
also given (L-6)*(W+2)=180
solving
LW+2L-6W-12=180
192+2L-6W-12=180
180+2L-6W=180
2l=6w
L=3W
we know L*W=192
so 3W*W=192
W*W=64
W=8
and L=3W=24
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