Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft2. Find the width. Round your answer to the nearest foot.
area = 5x(6x) = 280
30x^2 = 280
x^2 = 28/3 or 84/9
x = √84/3
width = 6x = 6√84/3 = 2√84 = appr 18.3 ft
or 18 ft to the nearest foot
Daaaaang i still dont get it
Why did the woodworking teacher break up with his girlfriend? She kept measuring all their problems with inches instead of feet!
To find the width of the wooden deck, we first need to determine the dimensions of the parallelogram patio. Let's assume the length of the patio is L and the width is W.
The formula to find the area of a parallelogram is given by A = base × height, where the base is the length of one side and the height is the perpendicular distance between the base and the opposite side.
Given that the area of the patio is 280 ft², we have:
A = L × W = 280 ft²
To find the width, we need to isolate W in terms of L in the above equation.
W = 280 ft² / L
Now, since the patio is in the shape of a parallelogram, opposite sides are equal in length. Therefore, the length L is also the width of the deck.
To find the width, we need to substitute L = W in the above equation:
W = 280 ft² / W
Next, we can multiply both sides of the equation by W to eliminate the fraction:
W² = 280 ft²
Now, we can take the square root of both sides to solve for W:
W = √(280 ft²)
Using a calculator, the square root of 280 is approximately 16.73.
Therefore, the approximate width of the wooden deck is 16.73 feet when rounded to the nearest foot.