Question

Outdoor games like kite flying give us immense pleasure and happiness. Balancing a kite is important to fly it. The length of each portion (left and right) of the horizontal support must be 2/3 of the bottom portion of the vertical support. Also, the length of the top portion of the vertical support must be 1/3 of the bottom portion.

Based on the given information, answer the following questions.
(a) What is the total length of the vertical and horizontal supports in terms of x.
(b) Find the value of x, if the sum of the lengths of the vertical support and horizontal
support is 16 cm.
(c) A y cm long stick is required to make the sides and both the supports of the kite. If y satisfies the equation y + 16 = 2y – 16, then find the value of y.

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Answer:

(a) Let the length of the bottom portion of the vertical support = $x$ cm

Length of left horizontal portion = length of right horizontal portion= $\frac{2}{3}x$

Length of the top portion of vertical support = $\frac{1}{3}x$

The total length of vertical and horizontal supports = $x+ \frac{2x}{3}+\frac{2x}{3}+\frac{1x}{3}$

                                                                                     = $\frac{3x+2x+2x+x}{3} = \frac{8x}{3} cm$

(b) The sum of the lengths of the vertical support and horizontal =16cm (Given) .......(i)

Calculated length of vertical and horizontal supports = $\frac{8x}{3} cm$ .......(ii)

Now, from (i) and (ii)

$\frac{8x}{3} = 16$

$x = 6 cm$

(c) Lenght of stick = $y$ cm (Given)

If $y$ satisfies the following equation, then the value of $y$ will be:

$y+16=2y-16$

$y= 32cm$

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