Question

A diagram shows a rectangular garden path with the length of 630 cm and width of 120cm.
Beth is going to cover the path with paving , each paving stone is a square of side 30cm . Each paving stone costs £2.50.
How many paving stones will it take to cover the path and how much will they cost Beth to buy.

Answer 1

Answer:

Step-by-step explanation:

630*120*30*2.50=your answer

Answer 2

/* Diagram not attached */

$\underline { \blue { Dimensions \:of \: a \: rectangular \:path :}}$

$Length (l) = 630 \:cm , \: width (w) = 120 \:cm$

$\blue { Side \:of \:a \:square \: stone (a)= 30 \:cm}$

$Let \: \pink { Number \:of \: stones \: required =n }$

$n = \frac{ Area_ {\blue { (Rectangular \:path)}}}{Area _ {\orange {(Area \:of \:the\:square \:stone )}}}$

$\implies n = \frac{ l \times w }{a^{2}} \\= \frac{630 \:cm \times 120 \:cm }{30 \:cm \times 30 \:cm }$

$\implies n = 84$

$\orange { Cost \:of \:each \:stone = £ \:2.50 }$

$Cost \: of \: paving \:stones = 84 \times 2.50 \\= £\: 210$

Therefore.,

$\red{ Number \:of \: stones \: required} \green {= 84 }$

$\red{ Cost \: of \: paving \:stones} \green {= £ \:210 }$

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