What is the area of the quadrilateral? 1
2 m
8 mi
2 m
12 m2
16 m2
32 m2
O
24 m2

Area of quadrilateral = 16 m²

Step-by-step explanation:

Given:

Height of quadrilateral = 8 m

Length of perpendicular on diagonal = 2 m

Find:

Area of quadrilateral

Computation:

We know that, Diagonal divides quadrilateral into two equal triangle

So,

Area of quadrilateral = 2[Area of triangle]

Area of quadrilateral = 2[(1/2)(b)(h)]

Area of quadrilateral = 2[(1/2)(8)(2)]

Area of quadrilateral = 2[(4)(2)]

Area of quadrilateral = 2[8]

Area of quadrilateral = 16 m²

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

nope

step-by-step explanation: