Question

The Mulraneys hired a contractor to build an addition to their home. The Contractor proposed a rectangular room with an area of 300 square feet. The Mulraneys asked the contractor to change the area to 363 feet by increasing both the length and the width by the same percentage. By what percent did the Mulraneys ask the contractor to increase the length of the room?

Answer 1

If the dimensions are x and y, then if the change fraction was r,

xy = 300
(xr)(yr) = 363
xyr^2 = 363
r^2 = 363/300
r = 1.1

so, a 10% increase was used.

Answer 2

can someone explain how this works?

Answer 3

thank you steve for the help

Answer 4

wow

Answer 5

10%