Answer:
6 ft
Explanation:
Use the formula for area of a parallelogram A = bh
b is for base and h is for height. A is for area.
Substitute b for 8 1/4 ft² and A for 49 1/2 ft². Isolate "h" to find the height of the deck.
A = bh
49 1/2 ft² = (8 1/4 ft²)h Divide both sides by 8 1/4 ft² to isolate h
(49 1/2 ft²) ÷ (8 1/4 ft²) = (8 1/4 ft²)h ÷ (8 1/4 ft²)
(49 1/2 ft²) ÷ (8 1/4 ft²) = h
h = 6ft
Therefore the height of the deck is 6 feet.