Youshua
contestada

in a mixed shape, we can take a trapezium and a triangle. trapezium's base 1= 9cm and base 2= 8cm whereas, the base of the triangle is 5cm and height is 7 cm. Find the area​

Respuesta :

given:

trapezium

triangle

to find:

the area of the give shape.

solution:

Trapezium:

[tex]a = \frac{a + b}{2} h[/tex]

[tex]a = \frac{8 + 9}{2} \times 16[/tex]

[tex]a = 136 \: {cm}^{2} [/tex]

Triangle:

[tex]a = \frac{1}{2} bh[/tex]

[tex]a = \frac{1}{2} \times 5 \times 7[/tex]

[tex]a = 17.5 \: {cm}^{2} [/tex]

area of the shape:

[tex]136 + 17.5[/tex]

[tex]a = 153.5 \: {cm}^{2} [/tex]

mridiott

to find the area of the mixed shape, we'll have to add the area of the trapezium and the triangle.

therefore,

[tex]area \: of \: trapezium = 136 \: {cm}^{2} [/tex]

[tex]area \: of \: triangle = 17.5 \: {cm}^{2} [/tex]

area of the mixed shape,

[tex]136 \: cm+ 17.5 \: cm[/tex]

[tex] = 153.5 \: {cm}^{2} [/tex]

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