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.

Verified Answer :

then length=12

Width=3/4 of x

= 3/4 * 12

= 9
the answer is 9

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