Answer:
area of parallelogram = 624 units²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
here b = 26 and we have to find h
h is the height of the triangle on the right side.
using Pythagoras' identity on the right triangle
a² + b² = c² ( c is the hypotenuse and a, b the legs )
the sloping side ( the hypotenuse ) of the triangle is 25 ( opposite sides of a parallelogram are congruent )
let a = 7, c = 25 and b the height of the triangle , then
7² + b² = 25²
49 + b² = 625 ( subtract 49 from both sides )
b² = 576 ( take square root of both sides )
b = [tex]\sqrt{576}[/tex] = 24
Then
A = 26 × 24 = 624
The area of the parallelogram = 624 units²
