The width of a roof English 2 cm less than its length the perimeter is 52 cm the length is

Answer 1

Hi! Hopefully I'm interpreting this question correctly...

Given that:

w = L - 2

2w + 2L = 52 (because the perimeter of a rectangle is always = 2w + 2L)

You can substitute w in the second equation:

2(L-2) + 2L = 52

4L - 4 = 52

4L = 56

L = 14

If you wanted you know the width, just plug L Into the first equation (or the second.. but the first is easier).

w = 14 - 2

w = 12

Double-check your math:

2(14) + 2(12) = 52

Voila!

Answer 2

Assuming that you're referring to a triangular roof with equal sides

/\

x / \ x

/ \ like this where there are two equal lengths, which can be represented by x

(x - 2) and we know the width is two cm less than the length (x)

The perimeter of a triangle can be found by adding up all three sides, so we can write the equation:

52 = x + x + (x - 2)

52 = x + x + x - 2

52 = 3x - 2

54 = 3x

/3 /3

18 = x

So the length of the roof would be 18 cm.