Question

7 cm3 cm2 cm3 cm3 cm2 cm2 cm10 cmWrite your answer using decimals, if necessary.square centimeters

Answer 1

Given: Diagram

Required: Area of figure.

Step-by-step explanation:

The given figure can be divided into 3 parts.

The bottomost rectangle (by extending the 3 cm line to 10 cm line).

It has dimenions 3 cm and 2 cm as given.

Middle rectangle, with length 7 cm and breadth 3cm + 2cm = 5cm.

Topmost right triangle, with height 3 cm and base 3cm +2cm = 5cm

So area of figure is areas of these 3 parts.

Area of topmost triangle =

`\begin{gathered} A_1=(1)/(2)(5)(3) \\ A_1=(15)/(2)=7.5\text{ sqcm} \end{gathered}`

Area of middle rectangle

`\begin{gathered} A_2=7*5 \\ A_2=35\text{ sqcm} \end{gathered}`

Area of bottom rectangle

`\begin{gathered} A_3=3*2 \\ A_3=6sq\text{ .cm} \end{gathered}`

So total area is

`\begin{gathered} A=A_1+A_2+A_3 \\ A=7.5+35+6=48.5\text{ sq.cm} \end{gathered}`

Final Answer: Area is 48.5 square centimeters.