Question

eira is making a blanket out of fabric. she uses an equal number of red, white, blue and gold triangles. all together she uses 120 triangles. each triangle has a height and base of 22 cm. what is the total area of each colour fabric that eira needs?

Explanation:

Step1: Find number of triangles per color

There are 4 colors (red, white, blue, gold) and 120 total triangles. So number of triangles per color: $120 \div 4 = 30$

Step2: Area of one triangle

The formula for the area of a triangle is $A = \frac{1}{2} \times base \times height$. Here, base = 22 cm, height = 22 cm. So area of one triangle: $\frac{1}{2} \times 22 \times 22 = 242$ $cm^2$

Step3: Total area per color

Multiply number of triangles per color by area of one triangle: $30 \times 242 = 7260$ $cm^2$

Answer:

The total area of each colour fabric that Eira needs is $7260$ square centimeters.