The length of a rectangle is (x+3)cm. If the width of the rectangle is two thirds its length and the perimeter is 27cm, find its area

Step-by-step explanation:

Represent Length with L, Width with W and Perimeter with P

Required

Determine the Area

From the perimeter, we need to solve for x;

Substitute values for P, L and W

Collect Like Terms

Open bracket

Collect Like Terms

Solve for x

The Area is then calculated using:

Substitute 5.1 for x

Hence, the area is

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