Question

A 60m² rectangle is divided into right angles of length 2m and width of 3m. How many triangles could be found in a 60m² rectangle? (Please provide a step-by-step solution)

a) 60/2=30 triangles
b)60/3=20 triangles
c) 60/6=10 triangles
d) 60/4=15 triangles

Answer 1

There can be 20 right-angled triangles of lengths 2m and widths 3m in a 60m² rectangle since the area of one triangle is 3m² and 60m² divided by 3m² equals 20.

Step-by-step explanation:

The question asks how many right-angled triangles can be found in a rectangle with an area of 60m² if each triangle has a length of 2m and a width of 3m. The area of a right-angled triangle can be calculated using the formula area = 1/2 × base × height. In this case, the base is 2m and the height is 3m.

First, we calculate the area of one triangle: area = 1/2 × 2m × 3m = 3m². Now, to determine how many such triangles can fit into the rectangle, we divide the total area of the rectangle by the area of one triangle: 60m² / 3m² = 20 triangles.

Therefore, the answer to the question is that 20 triangles of lengths 2m and widths 3m can be found in a 60m² rectangle.