Question

the length of the room is 50 per cent more than its breadth.the cost of the carpeting the room at the rate of 38,50m2 is 924.find the dimension of the room?

Answer 1

let the breadth be x m.
$l \: = \: \binom{1}{2} x \: + \: x \: m$
l = 3x/2 m
area = cost / rate
= 924 / 38.5
= 24 m^2
l × b = 24
3x/2 × x = 24
x^2 = 16
x = 4
length = 6 m
breadth = 4m

Answer 2

Answer:

your answer :

let the breadth of the room be x m

length of the room = x + 50% of x

$= x + \frac{50}{100} \times x \\ \\ = x + \frac{1}{2} x \\ \\ = \frac{2x + x}{2} = \frac{3x}{2} m$

Floor are of the room = l × b

$= \frac{3x}{2} \times x \: = \frac{3}{2} {x}^{2}$

38.5 m² carpeting cost = ₹ 924

$area \: of \: floor \: = \frac{924}{38.5} = \frac{924}{38.5} \times 10$

Area of floor = 12 × 2

= 24 sq.m

l × b = 24

$\frac{3}{2} x \times x = 24 \\ \\ {x}^{2} = \frac{24 \times 2}{3} = 16 \\ x = 4$

$lenght \: = \: \frac{3}{2} \times 4 = 6m \:$

l = 6 m

b = 4 m

Cost of painting the walls at the rate of ₹ 5.50 per m² is ₹ 1320

$area \: of \: four \: walls \: = \frac{1320}{5.50} \\ \\ = \frac{1320}{5.50} \times 100 \\ \\ = \frac{1320 \times 100}{5.50} = 240sq.m \:$

2(l+b) × h = 240

2(6+4) × h = 240

2(10) × h = 240

$h \: = \frac{240}{2 \times 10} = 12m$

H = 12 m

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Length = 6 m Breadth = 4 m Height = 12 m

Step-by-step explanation:

I hope it helps you :)