Question : In measuring the sides of a rectangle, there is an excess of $5\%$ on one side and $2\%$ deficit on the other. Then the error percentage in the area is:

Option 1: $3.3\%$

Option 2: $3\%$

Option 3: $2.9\%$

Option 4: $2.7\%$

Question : A square of side $p$ is taken. A rectangle is cut out from this square such that the length of one side of the rectangle is equal to half of the length of one side of the square and the length of another side of the rectangle is equal to $\frac{1}{3}$rd of the length of the first side of the rectangle. What is the area of the portion of the square that remained after the rectangle was cut out?

Option 1: $\frac{7}{8} p^2$

Option 2: $\frac{3}{4} p^2$

Option 3: $\frac{11}{12} p^2$

Option 4: $\frac{15}{16} p^2$

Question : If the length of one side of a rectangle is twice that of the other side, and its perimeter is 54 cm, then what is the length of the longer side of this rectangle?

Option 1: 14 cm

Option 2: 9 cm

Option 3: 27 cm

Option 4: 18 cm

Question : The breadth of a rectangle is $\frac{4}{5}$th of the radius of a circle. The radius of the circle is $\frac{1}{5}$ of the side of a square, whose area is 625 cm². What is the area of the rectangle if the length of the rectangle is 20 cm?

Option 1: 150 cm²

Option 2: 600 cm²

Option 3: 100 cm²

Option 4: 80 cm²

Question : The length and the breadth of a rectangle are increased by 15% and 10%, respectively. What is the percentage increase in the area of the rectangle?

Option 1: 25%

Option 2: 26.5%

Option 3: 27.5%

Option 4: 26%