Answer:
A = 20.5 sq units
Step-by-step explanation:
you have the height of 5 but need to figure out the base
we can use the Pythagorean Theorem two times to find it
1) a² + 5² = 7²
a² = 49-25
a = [tex]\sqrt{24}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{6}[/tex] = 2[tex]\sqrt{6}[/tex]
2) b² + 5² = 6²
b² = 36-25
b = [tex]\sqrt{11}[/tex]
Base = 2[tex]\sqrt{6}[/tex] + [tex]\sqrt{11}[/tex]
A = 1/2 x 5· (2[tex]\sqrt{6}[/tex] + [tex]\sqrt{11}[/tex])
A = 2.5 · (2[tex]\sqrt{6}[/tex] + [tex]\sqrt{11}[/tex])
A = 2.5(8.2)
A = 20.5
