Question

First I will build the envelope. For this, I am using a rectangular piece of material 28m long and 12m wide. Out of this material, I have to cut patches that are 1/12 the length and 2/15 the width of the whole material. What is the area of a patch and how many such patches can I make out of the whole material?

Answer 1

Answer:

3.728 cm²

90

Step-by-step explanation:

To built the envelope I am using a rectangular piece of material 28 m long and 12 m wide.  

Out of this material, I have to cut patches that are 1/12 the length and 2/15 the width of the whole material.

So, the length of the patches is $28 \times \frac{1}{12} = 2.33$ m and the width of the patches is $12 \times \frac{2}{15} = 1.6$ m.

Therefore, the area of the patches is (1.6 × 2.33) = 3.728 m² each. (Answer)

Now, the area of the rectangular piece of material is (28 × 12) = 336 m²

Hence, $\frac{336}{3.728} = 90.37$ ≈ 90 such patches can be made out of the whole material. (Answer)