Paden's lawn is in the shape of a rhombus and measures 50 feet across on each side. He used a tape measure to measure across the middle of his yard from the front to the back, and found it measured 45 feet what is the area of his lawn ?

can someone answer this question plz

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq