Question

Find the area of the shape shown below.

Answer 1

Step-by-step explanation:

area of triangle = 1/2 × base × height

= 1/2 × 2 × 2

= 2

area of triangle = 1/2 ×2 × 5

= 5

area of rectangle = L × B

= 9 × 3.5

= 31.5

area of square = 2 × 2 = 4

area of whole figure = 2 + 5 + 31.5 + 4

= 42.5

Answer 2

We can find the area of this shape by taking it as

• a rectangle
• a square
• two triangles

Area of rectangle = 9×3.5 = 31.5cm²

Area of square = 2×2 = 4cm²

Area of triangle on left = ½×2×2 = 2cm²

Area of triangle on right = ½×9×2 = 18cm²

Therefore, area of the shape = 31.5+4+2+18 = 55.5cm²

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