Question

- Michael, the art elective programme student,
is working on another assignment. He designs a
rectangular pattern measuring 45 mm by 42 mm.
He is required to use identical rectangular patterns to
form a square. The maximum area of the square
allowed is 1.6 m².
(i) How many patterns does he need to form the
smallest square?
(ii) What are the dimensions of the largest square
that he can form?

Answer 1

Step-by-step explanation:

Michael is an art elective programme student who is working on an assignment. He designs a rectangular pattern measuring 45mm by 42mm. He is required to use identical rectangular patterns to form a square. The maximum area of the square allowed is 1.6 square meters. (i) How many patterns does he need to form the smallest square? (ii) What are the dimensions of the largest square that he can form?

(a)

LCM of 45 and 42 is 2 x 3 x 3 x 5 x 7 = 630

630/45 = 14

630/42 = 15

15 x 14 = 210

(b)

sq rt of 1.6 sq m =1.264911m = 1264.911mm

1264.911/630 = 2.0077952 almost = 2

2 x 630 = 1260

1260mm = 1.26m

Ans : (a) 210 patterns; 1.26m x 1.26m.

Answer 2

Answer:

Take HCF for part (I) so yes this is the ans