Question

The length of a rectangle is 6 cm longer than its width.
If the perimeter of the rectangle is 64 cm, find its length and width.

Answer 1

The length of rectangle is 19 cm and width is 13 cm.

Step-by-step explanation:

Width of rectangle = w

Length of rectangle = w+6

Perimeter of rectangle = 64 cm

Perimeter of rectangle = 2(Length+Width)

$64=2(w+6+w)\\64=2(2w+6)\\64=4w+12\\64-12=4w\\4w=64-12\\4w=52$

Dividing both sides by 4

$\frac{4w}{4}=\frac{52}{4}\\w=13$

Width of rectangle = w = 13 cm

Length of rectangle = w+6 = 13+6 = 19 cm

The length of rectangle is 19 cm and width is 13 cm.

Keywords: rectangle, perimeter

Learn more about perimeter at:

• brainly.com/question/3799248
• brainly.com/question/3950386

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