Answer:
The rectangle is (16+14) or 30 inches Wide and 16 inches High
Explanation:
Let W be the width and H be the height.
The diagonal of this rectangle would form a right triangle with sides of W and H+14. Using the Pythagorean Theorem, we can write:
W^2 + (H)^2 = 34^2
We are told that W = H + 14. So let's substitute:
W^2 + (H)^2 = 34^2
(H+14)^2 + (H)^2 = 34^2
2H^2 + 28H + 196 = 1156
2(H^2 + 14H + 98) = 1156
The solutions are H = -30 and H = 16.
We can drop the negative value and use only the H = 16 result.
The rectangle is (16+14) or 30 inches Wide and 16 inches High.