Question

two sides of the rectangle are 3 cm longer than the other sides its perimeter is 42 cm write an equation relating to the perimeter to the lengths of the sides and use it to calculate the dimensions of the rectangle

Answer 1

Answer:

peri...=2(l+b)

=2(x+3x)

this is the relationship...

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Answer 2

Step-by-step explanation:

The perimeter of a rectangle can be described as follows:

P=2l+2w

Since the length is 3 greater than the width, it's true that

l=w+3

Use this to replace l in the perimeter equation. Also recall from the question that P=42.

P=2l+2w

42=2(w+3)+2w

Distribute.

42=2w+6+2w

Combine like terms.

42=4w+6

Subtract 6 from both sides.

36=4w

Divide both sides by 4.

w=364

Simplify.

w=9

The question asks for the length, and we know the width. We also know the relation between the length and the width.

l=w+3

l=9+3

l=12 cm

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