Question

A Verandah which is 40 long and 15 m broad is co be paved with stones, each measuring 6 dm by 5 dm. Find the number of stone required​

Answer 1

Answer:

• The total number of stones required to pave the verandah are 200

Step-by-step explanation:

Given:-

• a verandah is 40 m long and 15 m broad
• A stone is 6 dm long and 5 dm wide

To Find:-

• The number of stones required to pave the verandah

Formula used:-

• Area of a rectangle is Length times breadth

Solution:-

✹ As we know that,

• 1 meter = 10 decimeters

The dimensions of the veradah will be,

• Length = 40 × 10 = 400dm
• Breadth = 15 × 10 = 150dm

Now let's find the area of the verandah,

$:\implies \bf Area \; of \; verandah = 400dm \times 150 dm$

$:\implies \bf Area \; of \; verandah = 6000dm^2$

∴ The area of the verandah is 6000dm²

Now let's find the area of the stone,

$:\implies \bf Area \; of \; stone = 6dm \times 5dm$

$:\implies \bf Area \; of \; stone = 30dm^2$

∴ The area of each of the stone is 30dm²

Now, the number of stones required will be,

$:\implies \bf Area \; of \; verandah \; \div Area \; of \; stone$

$:\implies \bf No . of \; stones = 6000dm^2 \div 30dm^2$

$:\implies \bf No . of \; stones \; required = {\purple{\underline{\boxed{\frak{ 200 }}}\bigstar}}$

∴ The number of stones needed are 200

Therefore:-

• The total number of stones required to pave the verandah are 200

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