The area of a square and that of a square drawn on its diagonal are in the ratio:
- A$1:\sqrt{2}$
- ✓$1 : 2$
- C$1 : 3$
- D$1 : 4$
Answer: B.
View full solution →Question types
Mensuration question types
221 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
221
Questions
5
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
73 Q→021 Marks Question
9 Q→032 Marks Questions
34 Q→045 Marks Questions
18 Q→053 Marks Question
87 Q→Sample Questions
Mensuration questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The perimeters of a square and a rectangle are equal. If their areas be $\mathrm{A m}^2$ and $\mathrm{B} \mathrm{m}{ }^2$, then which of the following is a true statement?
- A$\text{A}<\text{B}$
- B$\text{A}\leq\text{B}$
- ✓$\text{A}>\text{B}$
- D$\text{A}\geq\text{B}$
Answer: C.
View full solution →The base and height of a triangle are $12m$ and $8m$ respectively. Its area is:
- A$96\text{m}^2$
- ✓$48\text{m}^2$
- C$16\sqrt{3}\text{m}^2$
- D$16\sqrt{2}\text{m}^2$
Answer: B.
View full solution →The area of a rhombus is $144\ cm^2$ and one of its diagonals is double the other. The length of the longer diagonal is:
- A$12\ cm$
- B$16\ cm$
- C$18\ cm$
- ✓$24\ cm$
Answer: D.
View full solution →On increasing each side of a square by $25\%$, the increase in area will be:
- A$25\%$
- B$55\%$
- C$40.5\%$
- ✓$56.25\%$
Answer: D.
View full solution →Write $'T'$ for true and $'F'$ for false. Area of a circle $=2\pi\text{r}^2.$
View full solution →Write $'T'$ for true and $'F'$ for false. Area of $a\ ||\ gm$ = (base $\times $ height)
View full solution →Write $'T'$ for true and $'F'$ for false. Area of a triangle = (base $\times $ height)
View full solution →Write $'T'$ for true and $'F'$ for false.
Circumference of a circle $=2\pi\text{r}.$
View full solution →Circumference of a circle $=2\pi\text{r}.$
Fill in the blanks. If $l, b$ and $h$ be the length, breadth and height respectively of a room, then area of its $4$ walls = sq units.
View full solution →Find the area of the triangle in which Base $= 42\ cm$ and height $= 25\ cm.$
View full solution →Find the circumference of a circle whose radius is: $28\ cm.$
View full solution →Find the area of the square, the length of whose diagonal is: $72\ cm.$
View full solution →Find the area of the triangle in which Base $= 16.8\ m$ and Height $= 75\ cm.$
View full solution →Find the height of a parallelogram whose area is $54 \mathrm{~cm}^2$ and the base is $15\ cm.$
View full solution →The ratio of the radii of two circles is $4 : 5.$ Find the ratio of their areas.
View full solution →Find the area of a rhombus having each side equal to $13\ cm$ and one of the diagonals equal to $24\ cm.$
View full solution →The length and breadth of a park in the ratio $2 : 1$ and its perimeter is $240m.$ A path $2m$ wide runs inside it, along its boundary. Find the cost of paving the path at $Rs.80$ per $m^2$.
View full solution →In the given figure, a circle of diameter $21\ cm$ is given. Inside this circle, two circles with diameters $\frac{2}{3}$ and $\frac{1}{3}$ of the diameter of the big circle have been drawn, as shown in the given figure. Find the area of the shaded region. 
View full solution →The diameter of the wheel of a car is $77\ cm.$ How many revolutions will it make to travel $121\ km?$
View full solution →Find the area ofa recta[gular plot, one side of whtch is $48m$ and lts diagonal is so $m.$
View full solution →Find the area of a right triangle whose base is $1.2m$ and hypotenuse $3.7m.$
View full solution →A diagonal of a quadrilateral is $26\ cm$ and the perpendiculars drawn to it from the opposite vertices are $12.8\ cm$ and $11.2\ cm$. Find the area of the quadrilateral.
View full solution →A room is $9m$ by $8m$ by $6.5m$. It has one door of dimensions $(2m \times 1.5m)$ and four windows each of dimensions $(1.5m \times 1m)$. Find the cost of painting the walls at $Rs 50$ per $m^2$.
View full solution →A $115$-m-long and $64-m$-broad lawn has two roads at right angles, one $2m$ wide, running parallel to its length, and the other $2.5m$ wide, running parallel to its breadth. Find the cost of gravelling the roads at $Rs 60$ per $m^2$.
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