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The diagram shows a patio in the shape of a rectangle.

The patio is 3.6m long and 3m wide.

Mathew is going to cover the patio with paving slabs. Each paving slab is a square of side 60cm.

Mathew buys 32 of the paving slabs.

A) Does Mathew buy enough paving slabs to cover the patio?

The paving slabs cost £8.63 each

B) Work out the total cost of the 32 paving slabs.

Sagot :

Marmalid
[tex]A-pario\ area\\ A=3.6*3=10.8m^2\\ A_2-slab\ area\\ A_2=60cm*60cm=3600cm^2=0.36m^2\\ 0.36m^2*32=11.52>10.8\\ 32\ is\ enough\\\\ 8.63*32=276.16-total\ cost[/tex]

if Mathew has bought 32 slabs , he has enough paving slabs to cover the patio and  £276.16 is the total cost of the 32 paving slabs.

What is a Rectangle ?

A rectangle is a polygon with 4 sides , in which opposite sides are parallel and equal .

It is given that the patio has  length of 3.6 m and width of 3 m

Each paving slab is a square having side 60 cm or .6 m

Area of a rectangle is given by

length * width

3.6*3

10.8 m²

Area = 10.8 m²

Area of a slab = 0.6 *0.6 = 0.36 m²

No. of slabs needed = n

10.8 = 0.36* n

n = 30 slabs

So if Mathew has bought 32 slabs , he has enough paving slabs to cover the patio.

If the paving cost costs £8.63

The total cost for 32 slabs will be 32 * £8.63

= £276.16

To know more about Rectangle

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