An architect designs a diagonal path across a rectangular patio. the path is 29 meters long. the width of the patio is x meters, and the length of the path is 5 meters more than the width. which equation can be used to find the dimensions of the patio? 0.5(x)(x + 5) = 29 0.5(x)(x + 5) = 841 x2 + (x + 5)2 = 29 x2 + (x + 5)2 = 841

The sides and diagonal of a rectangle form a right triangle. The Pythagorean theorem can be used to relate the dimensions of that triangle. The legs are x and x+5; the hypotenuse is 29. We know 29²=841, so the Pythagorean theorem tells you

... x² + (x+5)² = 841 . . . . . matches the last choice

4

step-by-step explanation:

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.