Question

Help. how do you solve the area of rugby field = 8160. How do I find the dimensions of the field if the length of the rugby field is 52 meters longer than it's width

Answer 1

Area=(length)(width)
Area=8160
Width=w
Length=52+w

8160=(w)(52+w)
8160=52w+w^2 Rearranging this equation you get:

w^2+52w=8160
w^2+52w-8160=0 Factoring this equation you get:

(w+120)(w-68)=0 Solve for (w-68) because this will be a positive number
w-68=0
w=68

l=68+52=120

Therefore,
Width=68 meters
Length=120 meters

You can verify this by the following:

Area=( Length)(Width)
Area=(120)(68)=8160 meters