Question

Michael wants to replace the wooden floor at his gym. The floor is in the shape of a rectangle. Its length is 40 feet and its width is 30 feet. Suppose wood flooring costs $12 for each square foot. How much will the wood flooring cost for the floor?

Answer 1

`\bold{\huge{\underline{ Solution }}}`

Given :-

• Michael wants to replace the wooden floor at his gym.
• The floor is rectangle in shape having length and breath are 40 feet and 30 feet
• The cost of wooden flooring is $12 for each square foot

To Find :-

• We have to find the total cost of wooden flooring

Procedure :-

• As it was given in the question that Michael wants to replace the wooden floor at his gym. Whose length and breath are 40 feet and 30 feet.
• Step - 1 :- You have to find the area of wooden floor because it include entire surface of the floor
• Step - 2 :- After finding the area of the wooden floor then find the product of the cost for each feet and area of the wooden floor

Let's Begin :-

Michael wants to replace the wooden floor at his gym.

• The dimensions of the wooden floor are 40 feet and 30 feet

We know that,

Area of rectangle

`\bold{\pink{ = Length {*} Breath }}`

Subsitute the required values,

`\sf{ = 40 {*} 30 }`

`\bold{ = 1200\: ft^(2)}`

Thus, The area of the floor is 1200 ft²

Now,

We have to find the total cost of flooring

• The cost of flooring for each square feet = $12

Therefore,

Total cost of wooden flooring

`\sf{ = 12 {*} 1200 }`

`\bold{ = 14400 \: dollars }`

Hence, The total cost of wooden flooring is $14400 .

Answer 2

$14,400 is the correct answer.

Explanation:

Given:

• Length of Rectangle is 40 feet.
• Breadth of Rectangle is 30 feet.
• Cost of wood flooring for each square foot is $12.

`\:`

To Find:

• What will wood flooring cost for the floor?

`\:`

Solution:

As, we know:

`\bigstar \quad{ \large{ \rm{ \boxed{ \green{Area_((Rectangle)) = Length × Breadth }}}}} \quad \bigstar`

`{ \large{ \longrightarrow{ \rm{ Area_((Rectangle)) = 40 * 30}}}}`

`{ \large{ \longrightarrow{ \rm{Area_((Rectangle)) ={ \boxed{ \pink{ \rm{ 1200 \: {ft}^(2) }}}}}}}}`

Hence, Area of floor is 1200 ft².

Now,

Cost of wood flooring per ft² = $12

`{ \large{ \dashrightarrow{ \rm{Cost_((Wood \: flooring)) = 12 * 1200 }}}}`

`{ \large{ \dashrightarrow{ \rm{ Cost_((Wood \: flooring)) ={ \boxed{ \pink{ \rm{ 14400 }}}}}}}}`

Hence, the cost of wood flooring is $14400

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Learn More:

`\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf{ \red{ Formulas\:of\:Areas:-}}}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length* Breadth \\\\ \star\sf Triangle=(1)/(2)* Base* Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\frac {1}{2}* d_1* d_2 \\\\ \star\sf Rhombus =\:\frac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base* Height\\\\ \star\sf Trapezium =\frac {1}{2}(a+b)* Height \\ \\ \star\sf Equilateral\:Triangle=\frac {√(3)}{4}(side)^2\end {array}}`