Question

the width of a rectangle is three fourths of the length. The perimeter of the rectangle becomes 50cm when the length and width are increased by 2cm. Find the length and the width.

Answer 1

then length=12
Width=3/4 of x
= 3/4 * 12
= 9
the answer is 9

Answer 2

remember
P=2(l+w)
w=wdith
l=legnth
w is 3/4 legnth
w=3/4l

P=50 when l+2 and w+2

so
50=P=2(l+2+w+2)
w=3/4l, so sub
50=2(l+2+3/4l+2)
divide everybody by 2 to ge rid of nasty parenthasees
25=l+2+3/4l+2
25=1 and 3/4l+4
minus 4
21=1 and 3/4l
21=7/4l
times 4 both sides
84=7l
divide by 7
12=l
sub
w=3/4l
w=3/4(12)
w=9


legnth=9
width=12