Question

A square painting has a diagonal of 44 in.

Lorraine wants to frame the picture. The
framing material is sold by the inch.

What is the minimum amount of framing she
needs?
A 31 in.
B 32 in.
C 124 in
D 125 in.​

Answer 1

Answer: 31 in




Explain:

Answer 2

A. 31 in

Explanation:

Right angled triangle = c2 = a2 + b2

`{44}^(2) = {x}^(2) + {y}^(2)`

The frame is a square, so the lengths of x and y are equal

`x = y \\ {44}^(2) = {x}^(2) + {x}^(2) \\ 1936 = 2 {x}^(2) \\ (1936)/(2) = {x}^(2) \\ 968 = {x}^(2) \\ √(968) = x \\ 31.04 = x`

X= 31 in