Final answer:
To find the cost of a carpet that is 3.5 x 4.2, multiply its area by the cost per square meter.
Step-by-step explanation:
To find the cost of a carpet that is 3.5 x 4.2, we need to calculate the area of the carpet and then multiply it by the cost per square meter. The area of the carpet is found by multiplying the length and width: 3.5 x 4.2 = 14.7 square meters. Since the cost is given for 12 square meters, we can find the cost of 14.7 square meters using proportions. Let x be the cost of the carpet. We can set up the proportion: 12 / 75 = 14.7 / x. Cross-multiplying, we get: 12x = 75 x 14.7. Solving for x, we find that the cost of the carpet that is 3.5 x 4.2 is approximately 92.7 euros.