Question

An engineer is designing a television screen. The screen is shaped like a rectangle with a diagonal of 34

inches. The ratio of the length of the rectangle to its width must be 15:8.
What is the length of the screen?
A. 30 in.
B. 23 in.
c. 32 in.
D. 15 in.

Answer 1

30"

Explanation:

length:width = 15:8

length = 15x

width = 8x

(15x)² + (8x)² = 34²

225x² + 64x² = 34²

289x² = 34²

x² = 34²/289

x = 34/17 = 2

length = 15x = 30 inches