Question

a kite is in the shape of square with side 16cm and an isosceles triangle of base 4cm and equal side of 6cm each . it is made up pf two colours as shown in the figure find the area of the paper of each colour used in it

Answer 1

hope this helps u ....

Answer 2

Answer:

133.65 cm²

Step-by-step explanation:

Consider the kite is made up of two colour equally used like shown in the figure.

Therefore area of the 1st colour = area of the second colour

or we can say area of the one colour is equal to the half of the total area.

The are of the kite = area of the square part + area of the triangular part

length of the side of  square part = 16 cm

therefore the area of the Square part =$16\times16=256$ cm²

The base of the triangle part c= 4 cm

The length of equals side a=b= 6 cm

Area of the isosceles triangle is = $\sqrt{s(s-a)(s-b)(s-c)}$

Where s = half of the perimeter =$\frac{6+6+4}{2}=8$

therefore, the area of the triangle =$=\sqrt{8(8-6)(8-6)(8-4)}\\\\=\sqrt{8\times2\times2\times4}\\\\=\sqrt{128}= 11.31 \text{cm}^{2}$

Total area of the kite = 256 +11.31 cm² = 267.31 cm²

Therefore the area of each colour paper = $\frac{1}{2}\times267.31= 133.65$cm²