The diagram shows a patio in the shape of a rectangle.
The patio is 3.6 m long and 3 m wide.
Mathew is going to cover the patio with paving slabs. Each paving slab is a square with a side of 60 cm.
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.
Answer (3)
10.8\\ 32\ is\ enough\\\\ 8.63*32=276.16-total\ cost"> A − p a r i o a re a A = 3.6 ∗ 3 = 10.8 m 2 A 2 − s l ab a re a A 2 = 60 c m ∗ 60 c m = 3600 c m 2 = 0.36 m 2 0.36 m 2 ∗ 32 = 11.52 > 10.8 32 i s e n o ug h 8.63 ∗ 32 = 276.16 − t o t a l cos t
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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Mathew has enough paving slabs to cover the patio, with a total area of 11.52 m² for the slabs against the patio's area of 10.8 m². The total cost for the 32 slabs he purchased is £276.16.
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