Question

The shape below is made of two rectangles joined together.

8 cm
4 cm
5 cm
12 cm
T
Find the total area of the shape.
Optional working
Answer:
cm²

Answer 1

56 cm²

Explanation:

We are interested in finding the area of the given shape which is made up of two rectangles .

(for figure refer to the attachment)

Step 1 : Find the area of two rectangles

`\longrightarrow Area_(AGHE)= length * breadth \\`

`\longrightarrow Area_(AGHE)= 5cm (4cm)\\`

`\longrightarrow Area_(AGHE)= 20cm^2`

Again ,

`\longrightarrow Area_(GBCD)= 3cm(12cm)\\`

`\longrightarrow Area_(GBCD)=36cm^2`

Step 2: Add up the areas

`\longrightarrow Area = 20cm^2+36cm^2\\`

`\longrightarrow \underline{\underline{Area = 56cm^2}}`

Answer 2

56 cm²

Explanation:

`\boxed{\begin{minipage}{3.5 cm}\underline{Area of a rectangle}\\\\$A=w\;l$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width. \\ \phantom{ww}$\bullet$ $l$ is the length.\\\end{minipage}}`

The given composite figure is made of two rectangles joined together.

Area of rectangle 1

`\begin{aligned}\implies A&=4 \cdot 8\\&=32\; \sf cm^2\end{aligned}`

Area of rectangle 2

`\begin{aligned}\implies A&=(8-5)(12-4)\\&=3 \cdot 8\\&=24\; \sf cm^2\end{aligned}`

Therefore:

`\implies \textsf{Total area}=32+24=56\; \sf cm^2`