Question

What is the area of the figure?

Answer 1

To solve the area of a complex shape

⇒ best split the shape into smaller regular shapes

⇒ let's split this one into

⇒the rectangle that has a length of 7cm and width of4 cm

⇒ and a pentagon that has a height of 8cm and the two bases of

length 7cm and 19 cm

Area of Rectangle = length * width = 7 *4 = 28
`cm^2`

Area of Pentagon =
`(1)/(2)(b1+b2)*h`

• b1: length of one of the bases ⇒ 7cm
• b2: length of the other base ⇒ 19cm
• h: length of the height ⇒ 8 cm

Area of Pentagon =
`(1)/(2)(7 + 19)*8 = (1)/(2)*26*8 = 26 * 4 = 104cm^2`

Total Area = Area of Rectangle + Area of Pentagon

= 104 + 28 = 132
`cm^2`

Hope that helped!