Answer

Verified

378.9k+ views

**Hint**: We have to find the area of Amanda’s bedroom which is in the shape of a rectangle in square meters.To find the area in square meters we convert the concert length and width into meters first and then calculate the area of the rectangle by using formula length × width. After calculating the area we convert it to the nearby whole number since carpet is sold in whole numbers of square meters. We then calculate the total cost of carpet by multiplying it with total area required.

**:**

__Complete step-by-step answer__According to the problem, we have a rectangular bedroom with 415cm long by 295cm wide.

We know that $ 1cm=0.01m $ .

Length of bedroom = $ 415 \times 0.01=4.15m $ .

Width of bedroom = $ 295 \times 0.01=2.95m $ .

We need to find the area of the rectangular bedroom in square meters.

We know that the area of a rectangle with length ‘l’ and width ‘w’ is given by $ l\times w $ .

Let us assume the area of the bedroom to be A.

$ A=4.15\times 2.95 $

A = 12.2425 square meters.

We have a cost of carpet $ 24 $ per square meter as given from the problem.

We can also observe that the carpet is sold in a whole number of square meters. So, we need to convert

the area to the nearest whole number.

We assume an area as 12 square meters.

∴ $ A=12{{m}^{2}} $

Now we find the total cost required to buy carpet of $ 12{{m}^{2}} $ .

We know that total cost of carpet = cost per square meters of area × Total area of carpet.

Total cost = 24 × 12

Total cost = $ \$ 288. $

We found that it will cost Amanda

$ \$ 288. $ to buy a carpet for her bedroom floor Area of bed room 12.2425 square meters and total cost incurred is $ \$ 288 $

**Note**: We can also calculate area in square centimetres and then convert it to square meters. While doing it we need to make sure that no mistakes happens while converting. We know that whole numbers are 0,1,2,3,,,,. We also need to make sure that there shouldn’t be any calculation mistakes to occur.

Recently Updated Pages

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Find the values of other five trigonometric ratios class 10 maths CBSE

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Write a stanza wise summary of money madness class 11 english CBSE

Which places in India experience sunrise first and class 9 social science CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Difference Between Plant Cell and Animal Cell

Which neighbouring country does not share a boundary class 9 social science CBSE

What is Whales collective noun class 10 english CBSE