Question

question 8 find the area of the shape shown below. a 13 cm b d 8 cm e 7 cm c f 16 cm area = □ ○ cm ○ cm² ○ cm³ ○ degrees submit question

Explanation:

Step1: Analyze the shape components

The shape can be divided into a rectangle (BCFE) and a triangle (ABD). First, find the length of AB: \( AB = 13 - 7 = 6 \, \text{cm} \). The base of the triangle (BD) is \( 16 - 8 = 8 \, \text{cm} \).

Step2: Calculate area of rectangle

The rectangle BCFE has length \( 16 \, \text{cm} \) and width \( 7 \, \text{cm} \). Area of rectangle: \( A_{\text{rectangle}} = 16 \times 7 = 112 \, \text{cm}^2 \).

Step3: Calculate area of triangle

The triangle ABD has base \( 8 \, \text{cm} \) and height \( 6 \, \text{cm} \). Area of triangle: \( A_{\text{triangle}} = \frac{1}{2} \times 8 \times 6 = 24 \, \text{cm}^2 \).

Step4: Total area of the shape

Add the areas of the rectangle and triangle: \( A_{\text{total}} = 112 + 24 = 136 \, \text{cm}^2 \).

Answer:

\( 136 \, \text{cm}^2 \)