Mathematics: (AICE MATH) i need help please

(AICE MATH) i need help please - id8430381, hayleyconsole

junahsisney

18.04.2022

Area of the shape = 7 unit²

Solution:

The given image is splitted into two figures.

One is square and the other is trapezium.

Side length of the square = 2 units

Area of the square = side × side

= 2 × 2

Area of the square = 4 unit²

Top base of the trapezium ( b_1 ) = 2 units

Bottom base of the trapezium (b_2) = 1 unit

Height of the trapezium = 4 - 2 = 2 units

Area of the trapezium = $\frac{1}{2}\times (b_1+b_2)\times h$

$$=\frac{1}{2}\times (2+1)\times 2$

$$=\frac{1}{2}\times 3\times 2$

Area of the trapezium = 3 unit²

Area of the shape = Area of the square + Area of the trapezium

= 4 unit² + 3 unit²

Area of the shape = 7 unit²

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