Question

the length of a rectangle is 4cm more than the width & the perimeter is at least 48cm. What are the smallest possible dimensions for the rectangle?

Answer 1

Let the width of rectangle = xcm

Then length would be (4+x)cm

Perimeter = 48cm

2(x+4+x) = 48

2(2x+4) = 48

Divide to each side by 2.

2x+4 = 24

Subtract 4 from each side.

2x = 20

Divide to each side by 2.

x = 10

Width = 10cm

Length = 14cm