The pattern of a piece of clothing has the shape of an isosceles right-angled triangle, the leg length of which is 4 dm. How many of these parts can be cut from a piece of rectangular fabric measuring 4m by 2m 40cm?
Let’s immediately translate decimeters into meters:
4 dm = 0.4 m.
Find the area of the part pattern. Since it has the shape of a right-angled triangle, we will look for it using the following formula:
Sv = 1 / 2ab, where a and b are the legs of the triangle.
Let’s calculate the area:
Sw = ½ * 0.4 * 0.4 = 0.08 dm².
Now we will find the area of a piece of fabric. It has a rectangular shape, so we will search by the formula:
Stk = cd, where c and d are the length and width of the fabric.
Let’s calculate the area of the fabric:
Stk = 4 * 2.4 = 9.6 m².
To answer the question of the problem, we find how many times the area of a piece of fabric is greater than the area of the pattern of the part:
9.6 / 0.08 = 120.
Answer: 120 patterns of a part can be cut from a piece of rectangular fabric.
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