Question

which of the following figure has the greate
a
9 m
9 m
b
6 m
10 m
10 m
c both are same.
d none of the above.

Explanation:

Step1: Calculate area of square

Area = $side^2 = 9^2 = 81$ m²

Step2: Calculate area of trapezoid

Area = $\frac{1}{2} \times (a+b) \times h = \frac{1}{2} \times (6+10) \times 10 = 80$ m²

Step3: Compare the two areas

$81 > 80$, so the square (figure A) has a greater area. Wait, correction: Rechecking, square area is $9*9=81$, trapezoid area is $\frac{(6+10)}{2}*10=80$. So the square (option A) is larger.

Corrected Answer:

A. The square (figure A)

Step1: Compute square area

Area = $9 \times 9 = 81$ m²

Step2: Compute trapezoid area

Area = $\frac{1}{2} \times (6+10) \times 10 = 80$ m²

Step3: Compare areas

$81 > 80$, so square has greater area.

Answer:

B. The trapezoid (figure B)