Question

find the
parallelogram
enclosed
ABCD and formula​

Answer 1

Step-by-step explanation:

First, break quadrilateral ABCE into two pieces: A 3×3x rectangle and a right triangle with a base of x and a height of 3.

Therefore, the area of quadrilateral ABCE is given by the following equation:

(3×3x)+

2

3×x

=9x+1.5x=10.5x

If ABCE has an area of 21, then 21=10.5x, which reduces to x=2.

Quadrilateral ABCD is a parallelogram, so we can use the formula:

A = (base) × (height), or 4x×3.

Substitute x=2, we get

A=4(2)×3=24