Zia has a slab of concrete in the shape of a parallelogram.
2 answers:
Answer:
Option D is correct
The area of the parallelogram is, 270 square inches.
Step-by-step explanation:
Area of parallelogram(A) is given by:
......[1]
where,
b is the base and h is the height of the parallelogram respectively.
As per the statement:
Zia has a slab of concrete in the shape of a parallelogram.
From the given diagram:
Base of the parallelogram(b) = 9+9 = 18 inches
height of the parallelogram(h) = 15 inches
Substitute the given values in [1] we have;
therefore, the area of the parallelogram is, 270 square inches.
You might be interested in
<h3>Answer: -2w^2 + 25w = 25 or -2w^2 + 25w - 25 = 0</h3>
================================================================
Explanation:
Refer to the diagram below. The width is w. We have two opposite and parallel sides equal to this. The other two parallel congruent sides are L = 25-2w meters long. We start with the total amount of fencing, and then subtract off the two width values, so 25-w-w = 25-2w.
The area of the rectangle is
Area = length*width
Area = L*W
Area = (25-2w)*w
Area = 25w - 2w^2
Area = -2w^2 + 25w
Set this equal to the desired area (25 square meters) to get
-2w^2 + 25w = 25
and we can subtract 25 from both sides to get everything on one side
-2w^2 + 25w - 25 = 0
side note: The two approximate solutions of this equation are w = 1.0961 and w = 11.4039 (use the quadratic formula or a graphing calculator to find this)