the length of a throw pillow is 64 centimeter longer than its width and the area is 110 cm² justify your answer representing each situation with mathematical sentence

Answer 1

A = LW = 110 =(W+64)W =W^2 + 64

W^2 + 64 W = 110

complete the square

W^2 + 64W + 32^2 = 110 + 32^2

(W + 32)^2 = 1134

W = -32 + or - sqr1134 = -32 + 33.68 = 1.68

L = 1.68+64 = 65.68