Question : Two sides of a plot measuring 32 m and 24 m and the angle between them is a perfect right angle. The other two sides measure 25 m each and the other three angles are not right angles. The area of the plot (in m²) is:

Option 1: 768

Option 2: 534

Option 3: 696.5

Option 4: 684

Question : Calculate the area of a sector of a circle with a radius of 10 metres and an angle of 90 degrees at the centre.

Option 1: 79.3 m²

Option 2: 79.5 m²

Option 3: 78.5 m²

Option 4: 75 m²

Question : Let A, B, and C be the mid-points of sides PQ, QR, and PR, respectively, of PQR. If the area of $\triangle$ PQR is 32 cm², then find the area of $\triangle$ ABC.

Option 1: 24 cm²

Option 2: 16 cm²

Option 3: 32 cm²

Option 4: 8 cm²

Question : The perimeter of a square is 124 metres. What is its area?

Option 1: 448 m²

Option 2: 884 m²

Option 3: 764 m²

Option 4: 961 m²

Question : If the volume of a sphere is $179 \frac{2}{3}$ m³, what is its surface area?

Option 1: 221 m²

Option 2: 154 m²

Option 3: 144 m²

Option 4: 151 m²

Question : a and b are two sides adjacent to the right angle of a right-angled triangle and p is the perpendicular drawn to the hypotenuse from the opposite vertex. Then p² is equal to:

Option 1: $a^{2}+b^{2}$

Option 2: $\frac{1}{a^{2}}+\frac{1}{b^{2}}$

Option 3: $\frac{a^{2}b^{2}}{a^{2}+b^{2}}$

Option 4: $a^{2}-b^{2}$