a field has a perimeter of 150m .the length is 15 m longer than it is wide.the width of the field is x .work out x

Question

i if possible would just like the answer thank you

Answer 1

Yeah, sorry. Just the answer isn't going to help you understand how you got there or how you may be able to solve future problems. We're going to have to go through this step by step.

Here's what we know:

P = 2L + 2w (the perimeter of a rectangle is the 2 lengths plus the 2 widths)

P = 150 (Perimeter is 150 meters)

L = w + 15 (Length is 15 meters more than the width)

 

That gives us:

150 = 2(w + 15) + 2w

Distribute:

150 = 2w + 30 + 2w

Simplify:

150 = 4w + 30

 

All you need to do from here is isolate w. Subtract 30 from both sides then divide both sides by 4.