Question

Michelle wants to make the kite shown below out of cloth she wants to find out how much cloths she needs what is the area rounded to the nearest square centimeters of Michelle’s kite

Answer 1

To find the area of the kite we must find the area of 4 triangles, where in fact only have 2 different triangles. Then we must find the area of these 2 triangles and multiply each area by 2. One triangle has a base of 16.3 and a height of 42.7 and the other has b = 16.3 as well and h = 22.5, the total area will be

`A_T=2A_(\triangle1)+2A_(\triangle2)`

We know that the area of the triangle is

`A_(\triangle)=(bh)/(2)`

Therefore

`A_T=(2\cdot42.7\cdot16.3)/(2)+(2\cdot22.5\cdot16.3)/(2)`

We can simplify 2 on the numerator and denominator

`A_T=42.7\cdot16.3+22.5\cdot16.3`

Now we just use a calculator and find the result

`A_T=1062.76\text{ cm}^2`

Rounding to the nearest square centimeter

`A_T=1063\text{ cm}^2`

Therefore the correct result is the letter B.