The length of a rectangle is 3 centimeters less than its width. what are the dimensions of the rectangle if its area is 130 square centimeters?

a = lw

130 = l*(l+3)

130 = l^2 + 3l

l^2 + 3l - 130 = 0

(l + 13)*(l - 10) = 0

l = -13, l = 10

length can't be negative, so length is 10cm, height is 13cm

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