Question
A rectangular courtyard 3.78 m long and 5.25 m broad is to be paved exactly with square tiles, all of the same size. What is the largest size of such a tile? Also, find the number of tiles.
[Hint. Largest size of square tile = H.C.F. of 378 cm, 525 cm = 21cm]

Answer

21cm $\times $ 21cm, 450

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Arrange the following rational numbers in descending order.$\frac{-7}{10}, \frac{-8}{15}$ and $\frac{-11}{30}$
The marks obtained by 40 students of a class in an examination are given below.
Present the data in the form of a frequency distribution using equal class-size, one such class being 10 - 15 (15 not included).
3, 20, 13, 1, 21, 13, 3, 23, 16, 13, 18, 12, 5, 12, 5, 24, 9, 2, 7, 18, 20, 3, 10, 12, 7, 18, 2, 5, 7, 10, 16, 8, 16, 17, 8, 23, 21, 6, 23, 15
In a right$-$angled $\triangle ABC, \angle B = 90^\circ , P$ and $Q$ are the points on the sides $AB$ and $AC$ such as $\text{PQBC}, AB = 8 \ cm, AQ = 6 \ cm$ and $PA:AB = 1:3.$ Find the lengths of $AC$ and $BC.$
Arrange $\frac{5}{8},-\frac{3}{16},-\frac{1}{4}$ and $\frac{17}{32}$ in descending order of their magnitudes.Also, find the sum of the lowest and largest of these fractions. Express the result obtained as a decimal fraction correct to two decimal places.
Prove that $\frac{\log _{ p } x}{\log _{ pq } x}=1+\log _{ p }$
Given: $\sec\ A=\frac{29}{21}$, evaluate $: \sin A -\frac{1}{\tan A }$
If $\operatorname{cosec} \theta=1 \frac{9}{20}$, show that $\frac{1-\sin \theta+\cos \theta}{1+\sin \theta+\cos \theta}=\frac{3}{7}$
The present age of a man is double the age of his son. After $8$ years, the ratio of their ages will be $7 : 4.$ Find the present ages of the man and his son.
Use the table given below to draw the graph.
$X$ $a$ $3$ $-5$ $5$ $c$ $-1$
$Y$ $- 1$ $2$ $b$ $3$ $4$ $0$
Use the graph to find the values of $a, b$ and $c$. State a linear relation between the variables $x$ and $y$.
If $AP$ bisects $\angle BAC$ and $M$ is any point on $AP,$ prove that the perpendiculars drawn from $M$ to $AB$ and $AC$ are equal.