a deck in the shape of a parallelogram has an area of 49 1/2 square feet and a base of 8 1/4 feet. Find the height of the deck

6 ft

Step-by-step 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.