Question

a frame shop has been commissioned 5 black and white photos for an island resort. Each photo has a perimeter of 224in. and a diagonal of 80in. Find the dimensions of the photos

Answer 1

The perimeter of the photos is given by:
P = 2w + 2l
The diagonal of the photos is given by
d = root ((w) ^ 2 + (l) ^ 2)
Where,
w: width of the photo
l: length of the photo
Substituting values we have:
224 = 2w + 2l
80 = root ((w) ^ 2 + (l) ^ 2)
Solving the system of equations we have:
l = 64 in
w = 48 in
Answer:
the dimensions of the photos are:
l = 64 in
w = 48 in