The area of triangle AED is 20 square meters. Find the area of parallelogram ABCD.

20 square meters

52 square meters

15 square meters

104 square meters

diagram below.

Verified Answer :

I found the accompanying image of this problem. The triangle is a right triangle.

area of a right triangle = ab/2    where: a and b are the legs
based on the image: a = 5 m
20 square meters = (5m b) /2
20 sq. m
2 = 5m b
40 sq. m / 5m = b
8 m = b 

So the image consists of 2 right triangles with a square in the middle.

Area of a square = a² = (8m)² = 64m²

Total area of the parallelogram = 2 right triangle
20m² + 1 square *64m²
Total Area = 40m² + 64m²
Total area = 104m² ⇒ 104 square meters.