Question

A rectangle is 6cm longer than it is wide. It has a perimeter of 90 cm. Write down an equation to show this information.

Answer 1

2(W + 6) + 2W = 90 where W = the width.

Explanation:

The perimeter is 2L + 2W where L = the length and W = the width of the rectangle.

The length L = W + 6 so the equation is:

2(W + 6) + 2W = 90.

Answer 2

2(w+6)+2w=90

Explanation:

let l is the length of rectangle and w is the width of rectangle.

Perimeter of rectangle is 2(l+w).

so, P=2l+2w

From question statement, we observe that

A rectangle is 6cm longer than its wide and perimeter is 90 cm.

P=90 cm and l= w+6

P=2l+2w

putting the value of P and length,we get

90=2(w+6)+2w

rearranging above equation,we get

2(w+6)+2w=90