Area

Select the most appropriate unit of measurement to express the area of the following objects:

1. a) The screen of a smartphone.
2. b) A top-division football pitch.
3. c) The surface area of Spain.
4. d) The floor of your bedroom.

(Options: $km^2$, $hm^2$, $m^2$, $cm^2$)

For an art project, Lucas needs a piece of card that measures exactly $2.400 \text{ cm}^2$. When he goes to the stationer's, the shop assistant tells him that measurements are given in square decimetres. How many $\text{dm}^2$ should Lucas ask for for his project?

Express in simple form (using a single unit) in square metres the following area measurement given in compound form:

$3 \text{ dam}^2$, $25 \text{ m}^2$ and $75 \text{ dm}^2$

A local council has decided to create a central park of $5 \text{ hectares}$. If they want to install a play area occupying $1.500 \text{ m}^2$, how many square metres will be left for trees and paths in the rest of the park?

A local council is planning the creation of a new suburban park. They have bought three adjacent plots whose areas are expressed in different units:

• Plot A: $0,052\text{ km}^2$

• Plot B: $140\text{ dam}^2$

• Plot C: $8.500\text{ m}^2$

Express the total area of the future park in hectares ($ha$).

In farming, special units are used. Match each International System measurement with its corresponding land area unit:

1. a) $1 \text{ hm}^2$
2. b) $1 \text{ dam}^2$
3. c) $1 \text{ m}^2$

I. Are ($a$)

II. Hectare ($ha$)

III. Centiare ($ca$)

A farmer owns a farm of $3\text{ ha}$, $5\text{ a}$ and $25\text{ ca}$. He decides to sell part of his land for the construction of a road. The part sold measures exactly $4.200\text{ m}^2$. What area of the farm, expressed in compound form (hectares, ares and centiares), does the farmer have left?

Calculate the area of the following shaded figure by counting the grid squares. Note that each small square represents an area of $1 \text{ m}^2$. Express the final result in square decametres ($\text{dam}^2$).

We want to replace the floor of a kitchen that is rectangular in shape and measures $420\text{ cm}$ long by $3\text{ m}$ wide. If we are going to use square tiles with an area of $20\text{ dm}^2$ each:

1. a) Calculate the total area of the kitchen in $\text{m}^2$.
2. b) How many tiles will we need to cover the entire floor?

Calculate the area of the following irregular figure by splitting it into squares and rectangles. Each square of the grid background represents an area of $100\text{ cm}^2$. Express the final result in square decimetres ($\text{dm}^2$).