The perimeter of a rectangle is 50cm and the length is 4cm longer than the width. Write and solve system of equations using the substituution method.

a) width = 10cm, length=14cm
b) width = 10 1/2 cm, length = 14 1/2cm
c) width = 11cm, length = 15cm
d) width = 23cm, length = 27cm

Question

The perimeter of a rectangle is 50cm and the length is 4cm longer than the width. Write and solve system of equations using the substituution method.

a) width = 10cm, length=14cm
b) width = 10 1/2 cm, length = 14 1/2cm
c) width = 11cm, length = 15cm
d) width = 23cm, length = 27cm

nubeer · Answer

width = x
length =x+4
perimeter = 50
do you know how to find the permiter of rectangle?

anonymous · Answer

@nubeer not really lol

nubeer · Answer

permieter of rectangle = 2(length +width)

nubeer · Answer

now plug in values to find the value of x

anonymous · Answer

@nubeer so 2(2x+4)

nubeer · Answer

yes = 50

anonymous · Answer

@nubeer so i dont understand how this helps me find the perimeter

anonymous · Answer

@nubeer i meant length and width

nubeer · Answer

you dont have to find perimeter.. perimeter is already given u have to find the value of x first.

nubeer · Answer

ohh well 
2(2x+4)=50
4x+8 =50
can you find x now?

nubeer · Answer

when u find the value of x.. you know 
width =x so x would be your width

anonymous · Answer

@nubeer so the answer is b?

nubeer · Answer

yes it seems so :)

anonymous · Answer

@nubeer thank you!

nubeer · Answer

you are welcome