To find the LCM, express the numbers in their prime factors using power notation and multiply together the highest power of each prime that is found among the factorisations:
12 = 22 x 31
42 = 21 x 31 x 71
75 = 31 x 52
LCM = 22 x 31 x 52 x 71
= 4 x 3 x 25 x 7
= 2100
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The Least Common Multiple of 12 and 8 is 24.
l= rθ Here θ = 75 * π/180 (Converting degrees into radian) r= l/θ = 75/ 75/180 π = 180/π = 57.3 approximately.
The area can't exactly be determined here since we don't have enough information about the sides of the rectangles! We only know that the perimeter of the rectangle is 42 cm. Then: P = 2(l + w) where l is the length and w is the width. 42 = 2(l + w) 21 = l + w Solve for either w or l to get... w = 21 - l So by the area of the rectangle, we obtain: A = lw A = l(21 - l) = 21l - l² So we can't really determine the area of the rectangle. It's just the general form of the rectangle with the perimeter 42 cm.
Perimeter = 2(l+w) => 2(75+25) => 200 metres Area = (l*w) => (75*25) => 1875 square metres.