Answer:
56 cm²
Step-by-step explanation:
You want the area of rectangle ABCD given the area of ∆BEF is 7 cm² and F and E are the midpoints of BC and CD, respectively.
Triangle
Triangle BEF has base BF that is half of BC, and altitude CE, which is half of CD. Its area is ...
Area = (1/2)(BC/2)(CD/2) = BC·CD/8 = 7 cm²
Rectangle
The area of the rectangle is the product of the lengths of adjacent sides.
Area = BC·CD = 8·7 cm² = 56 cm²
The area of ABCD is 56 cm².
