Answer:
A = 1,144 ft²
Step-by-step explanation:
The base of the quadrilateral is also x. We know this since there are 2 90° angles, there fore the other 2 angles are also 90°, making the top and bottom sides of the quadrilateral parallel to each other, and equal in measure.
Since the entire base of the yard is 2x, the base of the triangle is x.
The area of the triangle is
A = (1/2)bh where b is the base, and h is the height
For this example...
A = (1/2)x(44) (x is the base, and 44 is the height)
So
A = (1/2)(44)x
A = 22x
The area of the quadrilateral is
A = LW
A = 44x
The total area of the yard is
A = 22x + 44x
A = 66x
We are told that the entire area is 3,462. so
3,462 = 66x now solve for 'x'
3,462/66 = x (divide both sides by 66)
52 = x
So the area of the picnic tables is the area of the triangle, which is
A = 22(52) = 1,144 ft²
