Question

Find the area of the following shape.

Answer 1

Answer:

• Area of the figure is 220 mm².

Step-by-step explanation:

Process:

To solve this question, we need to divide the figure into two parts namely R₁ and R₂. Here, R₁ and R₂ represents 1st and 2nd rectangles respectively. After that, we will calculate the areas of the parts separately and add them to get the area of the whole figure.

Note :- The two parts are shown in the attachment. Refer to that if you want to.

Rectangle R₁:

• Length = 20 mm
• Breadth = 5 mm

Area of the rectangle R₁ = (length × breadth) sq. units

= (20 × 5) mm²

= 100 mm²

Rectangle R₂:

• Length = 7 + 5 = 12 mm
• Breadth = 30 - 20 = 10 mm

Area of the rectangle R₂ = (length × breadth) sq. units

= (12 × 10) mm²

= 120 mm²

Calculating area of the whole figure:

• Area of whole figure = (Area of R₁) + (Area of R₂)

Substituting the values,

Area of the whole figure = (100 + 120) mm²

= 220 mm²

Hence,

• Area of the figure = 220 mm²