Question

The length of a rectangle is 2 cm less than 7 times the width. The perimeter is 60 cm. Find the width of the rectangle. HINT: Draw a rectangle and label the longer side l for length and the shorter side w for width. Then write an expression for the length based off of w. Reminder that perimeter is the sum of all of the sides

Answer 1

Explanation:

Perimeter of a rectangle = 2L +2W

L is the length

W is the width

If the length of a rectangle is 2 cm less than 7 times the width, then;

L = 7W-2 .... 2

Substitute eqn into the formula for finding the perimeter

P = 2(7W-2)+2W

P = 14W-4+2W

P = 16W-4

If P =60cm

60 = 16W-4

16W = 60+4

16W = 64

W = 64/16

W = 4cm

Hence the width of the rectangle is 4cm

Since l = 7w-

l = 7(4)-2

L = 28-2

L = 26cm

You can proceed and draw a rectangle with the dimension of 4cm by 26cm