Question

plz answer fast plz pz ​

Answer 1

Given:

☛ Rate = ₹ 25

☛ Cost = ₹ 4500

☛ Ratio of length and breadth = 5 : 4

To Find:

☛ Dimensions of the room

Solution:

Length : Breadth = 5 : 4

So,

let Length = 5x and Breadth = 4x

According to the question:

☛ Cost of flooring room at a fixed rate (given) = 4500

➜ Area of room × Rate = Cost

➜ Length × Breadth × 25 = 4500

➜ Length × Breadth = 180

➜ 5x × 4x = 180

➜ 20x² = 180

➜ x² = 9

Since length can't be negative so, x = -3 neglected.

☛ x = √9

➜ x = 3

☛ Length = 5x

➜ Length = 5 × 3

➜ Length = 15 units

☛ Breadth = 4x

➜ Breadth = 4 × 3

➜ Breadth = 12 units.

Hence, Dimensions are 15 ( Length ) × 12 ( Breadth )

Answer 2

HEY MATE YOUR ANSWER IS HERE...

COST OF PER SQUARE METER FLOORING

= 25 RUPEES

TOTAL COST OF FLOORING

= 4500 RUPEES

HENCE AREA OF FLOOR

$= \frac{4500}{25} \\ \\ = 180 \: {m}^{2}$

NOW , ACCORDING TO THE QUESTION

LENGTH : BREATH = 5:4

$\frac{length}{breath \: } = \frac{5}{4} \\ \\ 4 \: length \: = 5 \: breath \:$

LET

LENGTH BE X

HENCE BREATH =

$breath \: = \frac{4 \: leangth}{5} \\ \\ length \: = x \\ \\ breath \: = \frac{4x}{5}$

HENCE

AREA OF RECTANGLE = LENGTH × BREATH

WHERE

$length \: = x \\ \\ breath \: = \frac{4x}{5}$

NOW

$(x) \times ( \frac{4x}{5} ) = 180 \\ \\ 4 {x}^{2} = 180 \times 5 \\ \\ 4 {x}^{2} = 900 \\ \\ {x}^{2} = \frac{900}{4} \\ \\ {x}^{2} = 225 \\ \\ x = \sqrt{225} \\ \\ x = 15$

NOW ,

LENGTH = 15 METER

AND BREATH

$= \frac{4x}{5} \\ \\ = \frac{4(15)}{5} \\ \\ = 12$

HENCE BREATH = 12 METER

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