Answer:
24 cm^2
Explanation:
Find Side Length:
20cm/4 = 5cm
Use x:
First Diagonal - 4x; Second Diagonal = 3x
Pythagorean Theorem:
a^2 + b^2 = c^2
Use Pythagorean Theorem:
a = 1/2 of First Diagonal
b = 1/2 of Second Diagonal
c = Side Length
2x^2 + 1.5x^2 = 5^2
4x^2 + 2.25x^2 = 25
6.25x^2 = 25
x^2 = 4
x = 2
Formula for Area of Rhombus:
1/2 * First Diagonal * Second Diagonal
Use Formula for Area of Rhombus:
1/2 * 4(2) * 3(2)
= 1/2 * 8 * 6
= 4 * 6
= 24 cm^2