Question

The perimeter of a rectangular slab of concrete is 24 meters. If the length of the
rectangular slab is 2 meters longer than its width, what is the width of the slab?
Answers:
A) 5 meters
B) 6 meters
C) 7 meters
D) 8 meters
The answer is 5 meters but i don't know how to get that. HELP

Answer 1

the perimeter = 2*length + 2*width  = 2L + 2W = 24

also as length = width + 2 we can write the equation L = W+2

now replace the L in the first equation by W+2, we get:-

2(W+2) + 2W = 24

solve for W:-

2W + 4 + 2W = 24
4W = 24-4 = 20

W = 20/4 = 5

width = 5 meters.

Answer 2

The width of the slab is 5 meters which is correct option(A).

What is perimeter of rectangle?

Perimeter of rectangle is defined as addition the lengths of the rectangle's four sides.

Let length of slab is L, width is W,

The perimeter of a rectangular slab = 24

2(length) + 2(width)  = 2L + 2W = 24

If the length of the rectangular slab is 2 meters longer than its width

= width + 2

So, the equation L = W+2

Now substitute, L= W+2 in equatioin of perimeter,

2(W+2) + 2W = 24

2W + 4 + 2W = 24

4W = 24-4 = 20

W = 20/4 = 5

W = 5

Hence, the width of the slab is 5 meters.

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