Question

Find the area of the figure

Answer 1

Answer:

42.12cm²

Step-by-step explanation:

Firs well have to find the hypotenuse of the big and small right angled triangles because it is the length of the long and short diagonals which is needed in solving

The bigger triangle

Using Pythagoras theorem

let the length be x

x²=10²+6²

x²=100+36

x²=136

√x²=√136

x=√136

x=11.7m

The smaller triangle

Using Pythagoras theorem

let the length be y

y²=6²+4²

y²=36+16

y²=52

√y²=√52

y=√52

y=7.2

Now to find the total area of the shape which is a kite

Formula=

1/2 x D1 x D2

D1 is the long diagonal which is the hypotenuse of the bigger triangle and D2 is the shorter diagonal the hypotenuse of the smaller triangle

$\frac{1}{2} \times 11.7 \times 7.2 \\ = \frac{11.7 \times 7.2}{2} \\ = \frac{84.24}{2} \\ = 42.12 {cm}^{2}$

OladipoSeun♡˖꒰ᵕ༚ᵕ⑅꒱