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 →Question types
Mensuration – I (Perimeter and Area of Rectilinear Figures) question types
189 questions across 4 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
189
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4
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Sample Questions
Mensuration – I (Perimeter and Area of Rectilinear Figures) questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
If the length of a diagonal of a rectangle of length $16\ cm$ is $20\ cm,$ then its area is:
- ✓$192 \mathrm{~cm}^2$
- B$320 \mathrm{~cm}^2$
- C$160 \mathrm{~cm}^2$
- D$156 \mathrm{~cm}^2$
Answer: A.
View full solution →Each side of an equilateral triangle is $8\ cm.$ Its area is:
- ✓$16\sqrt{3}\text{cm}^2$
- B$32\sqrt{3}\text{cm}^2$
- C$24\sqrt{3}\text{cm}^2$
- D$8\sqrt{3}\text{cm}^2$
Answer: A.
View full solution →In fig., the value of $k$ is:
- ✓$\frac{77}{8}$
- B$\frac{73}{8}$
- C$\frac{71}{8}$
- D$\frac{75}{8}$
Answer: A.
View full solution →The length and breadth of a rectangular field are $4m$ and $3 m$ respectively. The field is divided into two parts by fencing diagonally. The cost of fencing at the rate of $Rs. 10$ per metre is:
- A$Rs. 50$
- B$Rs. 30$
- ✓$Rs. 190$
- D$Rs. 240$
Answer: C.
View full solution →Find the area of a parallelogram with base $8\ cm$ and altitude $4.5\ cm$.
View full solution →Find the area of a right angled triangle whose sides containing the right angle are of lengths $20.8m$ and $14.7m$.
View full solution →Find the area in square centimeters of a triangle whose base and altitude are as under: Base $= 8\ dm$, altitude $= 15\ cm$
View full solution →Find the altitude of a triangle whose area is $42 \mathrm{~cm}^2$ and base is $12\ cm$.
View full solution →Find the area, in square centimeters, of a square whose side is: $1.2\ dm$
View full solution →Through a rectangular field of sides $90\ m \times 60\ m$, two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the field. if the width of the roads is $3\ m$, find the total area covered by the two roads.
View full solution →How many envelopes can be made out of a sheet of paper $125\ cm$ by $85\ cm$; supposing one envelope requires a piece of paper of size $17\ cm$ by $5\ cm?$
View full solution →A square lawn is surrounded by a path $2.5\ m$ wide. If the area of the path is $165m^2$, find the area of the lawn.
View full solution →Each side of a square flower bed is $2\ m \ 80\ cm$ long. It is extended by digging a strip $30\ cm$ wide all around it. Find the area of the enlarged flower bed and also the increase in the area of the flower bed.
View full solution →Find the area of a figure formed by a square of side $8\ cm$ and an isosceles triangle with base as one side of the square and perimeter as $18\ cm$.
View full solution →The area of a triangle, whose base and the corresponding altitude are $15\ cm$ and $7\ cm$, is equal to area of a right triangle whose one of the sides containing the right angle is $10.5\ cm$. Find the other side of this triangle.
View full solution →A room is $9.68m$ long and $6.2m$ wide. Its floor is to be covered with rectangular tiles of size $22\ cm$ by $10\ cm$. Find the total cost of the tiles at the rate of $Rs. 2.50$ per tile.
View full solution →Find the area of Figure, in the following way:
- Sum of the areas of three triangles.
- Area of a rectangle - sum of the areas of five triangles.
In Figure, $ABCD$ is a quadrilateral in which diagonal $AC = 84\ cm$; $\text{DL}\bot\text{AC},\text{BM}\bot\text{AC},$ $DL = 16.5\ cm$ and $BM = 12\ cm$. Find the area of quadrilateral $ABCD$.
View full solution →In Fig below, $ABCD$ is a rectangle with dimensions $32m$ by $18m$. $ADE$ is a triangle such that $\text{EF}\bot\text{AD}$ and $EF = 14\ cm$. Calculate the area of the shaded region.
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