Question 795293
Let W = original width
Let L = original length
:
Write an equation for each statement:
:
"The width is a rectangle is three fourths of the length."
W = .75L
:
" the perimeter of the rectangle becomes 50cm when the length and the width are each increased by 2cm.
2(L+2) + 2(W+2) = 50
Simplify, divide by 2
L + 2 + W + 2 = 25
L + W + 4  = 25
L + W = 25 - 4
L + W = 21
Replace W with .75L
L + .75L = 21
1.75L = 21
L = 21/1.75
L = 12 cm is the length
then obviously
.75(12) = 9 cm is the width
;
:
Check this in the statement:
"the perimeter of the rectangle becomes 50cm when the length and the width are each increased by 2cm."
2(14) + 2(11) = 50