[4 marks sum]

Question 14 Marks

Radhey owns an agricultural field which is in the form of a rhombus ABCD . The length of each side of this field is 250 m . Radhey separated a part $\triangle DBE$ of this field for growing lentils by fixing a wire DE and another wire BD such that wires DE and BD are 75 m and 125 m respectively.

Q.1. The area of Radhey's field $A B C D$ is:
(a) $15550 m^2$$\quad$$\quad$ (b) $17525 m^2$$\quad$$\quad$ (c) $18750 m^2$$\quad$$\quad$ (d) $20250 m^2$
Q.2. The length of the diagonal $A C$ of the rhombus $A B C D$ is equal to :
(a) 250 m$\quad$$\quad$ (b) 300 m $\quad$$\quad$(c) 350 m$\quad$$\quad$ (d) 425 m
Q.3. The area of the field used by Radhey for sowing lentils is :
(a) $3750 m^2$$\quad$$\quad$ (b) $4225 m^2$$\quad$$\quad$ (c) $5250 m^2$ $\quad$$\quad$(d) $6225 m^2$
Q.4. What is the area of $\triangle D B C$ ?
(a) $8750 m^2$$\quad$$\quad$ (b) $9375 m^2$$\quad$$\quad$ (c) $7500 m^2$$\quad$$\quad$ (d) $6425 m^2$

Answer

1. (c) 2. (b) 3. (a) 4. (b)

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Question 24 Marks

Kunal pulled out a string from one of his shoes. He found that it was 66 cm long. He bent it into different shapes one by one.
Q.1. If Kunal formed an equilateral triangle from the shoe string, what will be the length of each side of the triangle formed ?
(a) 11 cm $\quad$$\quad$(b) 13 cm$\quad$$\quad$(c) 22 cm$\quad$$\quad$(d) 33 cm
Q.2. If he formed a square from the string, the area of the square would be :
(a) $212.5 cm^2$$\quad$$\quad$ (b) $272.25 cm^2$ $\quad$$\quad$(c) $312.75 cm^2$$\quad$$\quad$ (d) $324 cm^2$
Q.3. He formed a circle from the string. Find the radius of the circle formed. [Use $\pi \frac{22}{7}$ ]
(a) 7 cm $\quad$$\quad$(b) 7.5 cm $\quad$$\quad$(c) 9 cm$\quad$$\quad$ (d) 10.5 cm
Q.4. The area of the circle formed from the string will be : [Use $\pi \frac{22}{7}$ ]
(a) $272.25 cm^2$$\quad$$\quad$(b) $346.5 cm^2$ $\quad$$\quad$(c) $414.75 cm^2$ $\quad$$\quad$(d) $452 cm^2$

Answer

1. (c) 2. (b) 3. (d) 4. (b)

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Question 34 Marks

Find the area of each of the figures drawn on the unit square grid paper given below :
Note: Each unit square has side 1 cm

Answer

1. $60 cm^2$
2. $56 cm^2$
3. $46 cm^2$
4. $56 cm^2$

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MATHS [4 marks sum]

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