Question

A rectangle has sides of length x + 3 and 1 + 3x with a perimeter of 10 write down an equation that involves x

Answer 1

P = 2(L+B)

10 = 2(x + 3 + 1 + 3x)

10 = 2x + 6 +2 + 6x (Distributive Property)

Answer 2

8x + 8 = 10

Explanation:

The perimeter of a rectangle is 2(w + h) where w is the width and h is the height.

Let x + 3 be the width (w) and 1 + 3x be the height (h)

The perimeter is therefore equal to 2((x+3) + (1 + 3x)); 2((x+3) + (1 + 3x)) = 10

Simplify:

2(4x + 4) = 10

8x + 8 = 10

Hope this helps!