Question

Which of the following statement is correct about the given figure?

• A. Area of ADE = Area of quadrilateral ABCE
• B. Area of ADE is not equal to Area of FCE
• C. Area of rectangle ABCD = Area of ABF
• D. Area of rectangle ABCD = Area of ADE + Area of FCE

Answer 1

The correct option is D

Area of rectangle ABCD = Area of ADE + Area of FCE

$Areaof\Delta ADE=\frac{1}{2}\times base\times height=\frac{1}{2}\times 8\times 6=24m^{2}Areaof\Delta FCE=\frac{1}{2}\times base\times height=\frac{1}{2}\times 8\times 6=24m^2$
Area of rectangle ABCD= 8 m $\times$ 6 m = 48 $m^2$
Sum of the area of triangles, ADE and FCE is equal to the area of rectangle ABCD.