Question #d9cf5

1 Answer
Jan 3, 2018

length = 10cm and width = 6cm

Explanation:

Suppose the width of the rectangle = xcm
Then, the length of the rectangle = x+4cm

Now, the changes to the length and width of the rectangle are as below:

Length is decreased by 5cm, then the new length will be:
x+45cm = x1cm

The width is decreased by 2cm, then the new width will be:
x2cm

The perimeter of this new rectangle = 18cm

Perimeter of rectangle = 2(l+w)
where, l = length, and w= width

So, 18 = 2×[(x1)+(x2)]
or, 18 = 2×(2x3) = 4x6

or, 18 = 4x6

or, 18+6 = 4x

or, x = 244 = 6cm (width)

and length = x+4cm = 6+4cm = 10cm