Question

The rectangle shown has length AC = 32, width

Answer 1

Answer:

A. 320

Step-by-step explanation:

See attachment for the figure

in order to determine Area of quadrilateral ABDF, we'll use the formula i.e

Area of quadrilateral ABDF = Area of AECD - Area of ΔBCD - Area of ΔDEF ->eq(1)

whereas, area of AECD = (AC × AE)

Area of ΔBCD = 1/2 (BC x CD)

Area of ΔDEF =1/2 ( EF x ED)

Substituting in eq(1)

eq(1)=>

Area of quadrilateral ABDF =  (AC × AE)  - 1/2 (BC x CD)- 1/2 ( EF x ED)

                  =(32 x 20) - 1/2(16 x 20) - 1/2(10 x 32)

                  = 640 - 160 - 160

                  = 640 - 320

                 = 320 square unit

Therefore, the area of quadrilateral ABDF is 320 square unit