Question

A rectangular room is 4 meters wider than its high and it is 8 meters longer than its wide. the total Ares of the wall is 512 square meters. Find the dimensions of the room.

Answer 1

height: h
width: h+4
length: w+8 = h+12

h(h+4)(h+12) = 512

all the factors of 512 are powers of 2, so we have

2^9 = 512
2+3+4 = 9
2^2 * 2^3 * 2^4 = 512
4*8*16 = 512

Answer 2

To access answer to the question