A rectangular courtyard is 10m 45cm long and 15m 20 cm broad. it is to be paved with square tiles of the same size. Find the least possible number of such tiles
Answers
HEY MATE,
Answer:
16720 tiles .
Step-by-step explanation:
Given:- l of rectangular courtyard = 10m45cm = 1045 cm
b of rectangular courtyard = 15m20cm = 1520 cm
To find:- the least number of square tiles of the same size.
Solution:- First we will find out the area of rectangular courtyard,
Area of rectangular courtyard = l ˣ b
= 1045 ˣ 1520
= 1588400 cm²
HCF (1045,1520)=?
Prime Factorization of 1045 & 1520 are as follows:
1045=5 ˣ 11 ˣ 19
1520=2 ˣ 2 ˣ 2 ˣ 2 ˣ 5 ˣ 19
⇒HCF(1045,1520)= 5 ˣ 19= 95
The area of square tile = 95 cm²
Least possible number of tiles to be paved
⇒Area of rectangular courtyard ÷ Area of square tile
⇒(1045 ˣ 1520) ÷ (95)
⇒1588400 ÷ 95
⇒16720 tile
∴Atleast 16720 square tiles are required to pave the rectangular courtyard of measurement 1045 ˣ 1520.