At the rate of * 3/- per m², cost ofpainting a rectangular floor is*

1.	At the rate of * 3/- per m², cost ofpainting a rectangular floor is* 7,056/-. If the breadth of the flooris 75% of its length, then what is thelength of the floor ?
Answer» Given: At the rate of * 3/- per m², cost of PAINTING a rectangular floor is Rs. 7,056/- To find: The length of the floor Solution: LET's assume, "l" → the length of the rectangular floor "b" → the breadth of the rectangular floor It is given that the breadth is 75% of its length, so we can form an eq. as: b = $\frac{75}{100} \times l$ $\implies b = \frac{3}{4} \times l$ ...... (i) We know that, The cost of painting the rectangular floor = Rs. 7056 ⇒ [Area of the rectangular floor] × [rate per meter square] = Rs. 7056 ⇒ [l × b] × 3 = 7056 substituting the value of b from (i), we get ⇒ $[l \times \frac{3}{4}\times l ] \times 3 = 7056$ ⇒ $l^2 \times \frac{9}{4} = 7056$ ⇒ $l^2 = \frac{7056 \times 4}{9}$ ⇒ $l^2 = 3136$ ⇒ $l = \sqrt{3136}$ ⇒ $\bold{l = 56\:m}$ Thus, the length of the floor is → *56 m. ------------------------------------------------------------------------------------------* ALSO View: find the cost of painting the walls of a room at rupees 25 per square metre if Length breadth and height of a room has 6 m, 4 m and 2.5 M respectively brainly.in/question/7931183 a rectangular room is of length 10m, breadth 6m , height 3m. the four walls and the roof have to be painted. if the cost of painting is 75/- per square metre, what will be the total cost? the area of the windows and doors is 6 SQ.m , which are not to be painted. brainly.in/question/1982836 Find the cost of painting a tank of dimension 3m×2m×1.5m at rupees 20 per square metre brainly.in/question/2084952 Find the cost of painting the walls of a room if the room is 4m 50cm high and each side of the room is 6m LONG .The cost of painting is Rs10per Sq metre? brainly.in/question/2252685

At the rate of * 3/- per m², cost ofpainting a rectangular floor is* 7,056/-. If the breadth of the flooris 75% of its length, then what is thelength of the floor ?

Answer»

Given:

At the rate of * 3/- per m², cost of PAINTING a rectangular floor is Rs. 7,056/-

To find:

The length of the floor

Solution:

LET's assume,

"l" → the length of the rectangular floor

"b" → the breadth of the rectangular floor

It is given that the breadth is 75% of its length, so we can form an eq. as:

b = $\frac{75}{100} \times l$

$\implies b = \frac{3}{4} \times l$ ...... (i)

We know that,

The cost of painting the rectangular floor = Rs. 7056

⇒ [Area of the rectangular floor] × [rate per meter square] = Rs. 7056

⇒ [l × b] × 3 = 7056

substituting the value of b from (i), we get

⇒ $[l \times \frac{3}{4}\times l ] \times 3 = 7056$

⇒ $l^2 \times \frac{9}{4} = 7056$

⇒ $l^2 = \frac{7056 \times 4}{9}$

⇒ $l^2 = 3136$

⇒ $l = \sqrt{3136}$

⇒ $\bold{l = 56\:m}$

Thus, the length of the floor is → 56 m.

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ALSO View:

find the cost of painting the walls of a room at rupees 25 per square metre if Length breadth and height of a room has 6 m, 4 m and 2.5 M respectively

brainly.in/question/7931183

a rectangular room is of length 10m, breadth 6m , height 3m. the four walls and the roof have to be painted. if the cost of painting is 75/- per square metre, what will be the total cost? the area of the windows and doors is 6 SQ.m , which are not to be painted.

brainly.in/question/1982836

Find the cost of painting a tank of dimension 3m×2m×1.5m at rupees 20 per square metre

brainly.in/question/2084952

Find the cost of painting the walls of a room if the room is 4m 50cm high and each side of the room is 6m LONG .The cost of painting is Rs10per Sq metre?

brainly.in/question/2252685