Question

Rani wants to make curtains for her window as shown in figure. The window is in the shape of a rectangle whose width and height are in the ratio 2:3 . The area of the window is 9600 sq.cm


(What is the shape of the window that is uncovered? (a) Right triangle

(b) Equilateral triangle

(c) Isosceles triangle

(d) Rectangle

(ii) What will be the ratio of two sides of each curtain (other than hypotenuse) (a) 1:3

(b) 2:3

(c) 1:1 (d) 3:2

(iii) What are the dimensions of the window? (a) 40 cm x 80 cm (b) 20 cm x60 cm

(iv) What will be the perimeter of the window? (a) 200 cm

(b) 100 cm

(c) 80 cm x120 cm (d) 40 cm x120 cm

(c) 400 cm (d) 450 cm

(v) How much window area is covered by the curtains? (b) 75 %

(a) 50%

(c) 25 % (d) 80 %​

Answer 1

Answer:

It is an isosceles triangle .Option C is correct.

the ratio is 1:3

the dimensions are 80 and 120

perimeter of the rectangle 400

Area of the rectangle is 9600 $cm^2$

Step-by-step explanation:

as given in the question,

the height and the width of the rectangle given in the ratio 2:3

so let the width of the rectangle (w) be 2x

the height of the rectangle (h) be 3x

Now

let the width of the single curtain be x

as it is the half of the window size

and the length of the single curtain be the height of the window that is length = height or length of single curtain is 3x

thus the ratio of width and length of the single curtain is x/3

or 1:3

iii) the dimensions are

Area = lxb

9600 = $3x \times 2x$

9600 = $6x^2$

1600 = $x^2$

x = 40

so the width 2x = 80

the length 3x = 120

iv) perimeter of the rectangle is

p = 2(l+b)

p = 2 ( 80 +120 )

p = 400 cm

v) area of the rectangle is

A = ( l x b)

A = ( 80 x 120)

=>A = 9600 $cm^2$

To learn more about Area:

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Answer 2

Answer:

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