Question

The shaded shape is made by joining a square and a rhombus.
Find the area of the shaded shape.

Answer 1

To find area of first figure:

As it is given in question shaded shape is made by joining a square and a rhombus. It is clearly visible that the first figure is square.

So to find Area of a Square:-

We know :-

Area of square = side²

So:-

⇢ Area of square = side²

⇢ Area of square = side × side

⇢ Area of square = 5 × 5

⇢ Area of square = 25 cm²

Therefore Area of first figure is equal to 25 cm²

To find area of second figure:

So we have find area of square and now as in question given next shape is rhombus.

There are two Formulas of rhombus :

• Area of rhombus = (Digonal 1 × Diagonal 2)/2

• Area of rhombus = Base × Height

We have to use second formula as Digonals aren't given :

⇢ Area of rhombus = Base × Height

⇢Area of rhombus = 4.5 × 5

⇢Area of rhombus = (45 × 5)/10

⇢Area of rhombus = (45 × 1)/2

⇢ Area of rhombus = 45/2

⇢ Area of rhombus = 22.5 cm²

Therefore Area of first figure is equal to 22.5 cm²

Area of whole shaded figure:

⇢A = Area of first figure + Area of second figure

⇢ A = 25 + 22.5

⇢ A = 47.5 cm²

Therefore Area of whole shaded figure is equal to 47.5 cm².