To find the area of the quadrilateral, we need to find the length of both diagonals and then use the formula for the area of a quadrilateral with perpendicular diagonals (Area = 0.5 * d1 * d2).
Using the Pythagorean theorem, we can find the length of the diagonals:
d1 = √(6^2 + 7.5^2) = √(36 + 56.25) = √92.25 = 9.61 inches
d2 = d1 (as they bisect each other)
Now, we can find the area:
Area = 0.5 * 9.61 * 9.61 = 0.5 * 92.25 = 45.63 in²
So, the area of the figure is closest to 45 in.², which corresponds to option A) 45 in.².
What is the area of the figure below?
A quadrilateral is drawn with its diagonals. The diagonals meet at a right angle and bisect each other. The top left part of one diagonal is 6 inches. The bottom left part of the other diagonal is 7.5 inches.
(1 point)
Responses
A)45 in.²
B)90 in.²
C)135 in.²
D)180 in.²
1 answer