5 Marks Questions

Question 15 Marks

The students of a class arranged a picnic. Each student contributed as many rupees as the number of students in the class. If the total contribution is $Rs. 1156,$ find the strength of the class.

Answer

Let the number of students be $x$
$\therefore\text{x}^2=1156$ or,
$\text{x}=\sqrt{1156}$ or, $\text{x}=2\times17=34$

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Question 25 Marks

Find the length of each side of a square whose area is equal to the area of a rectangle of length $13.6$ metres and breadth $3.4$ metres.

Answer

Area of rectangle =$(13.6 \times 3.4) m ^4$
=$46.24 m^2$
= Area of square
Length of each side of the square $=\sqrt{46.24}\text{m}$
$\begin{array}{c|c} &6.8 \\ \hline 6 &\overline{46}.\ \overline{24}\\& -36\ \ \ \ \ \ \ \ \ \ \\ \hline128 &1024\ \\ &-1024\ \ \ \ \\ \hline &\times \end{array}$
$\therefore\sqrt{46.24}=6.8$
Therefore, the length of side of the square is $6.8m$.

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Question 35 Marks

$1225$ Plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.

Answer

Let the number of row be $x$
$\therefore\text{x}^2=1225$ or, $\text{x}=\sqrt{1225}$ or, $\text{x}=5\times7=35$
Hence, the number of the rows is $35$.

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