Question

the angles of a quadrilateral are in the ratio 3 ratio 5 ratio 9 ratio 13 ratio find all the angle of the quadrilateral ​

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Plz don't thank my answer anyway my accøunt is on deletion ​

Answer 1

⠀Question -

The sides of a rectangle are in the ratio 3:2. If the area is 486 sqm, find the cost of fencing it at 40 per metre.

Stated -

The sides of rectangle are in ratio of 3:2

Area of rectangle is 486m²

Cost of fencing at 1m² is ₹40

To Attain -

Total cost of fencing at ₹40 m²

Formula to be used -

Perimeter of rectangle = 2(l + b)

Where -

L stands for length

B stands for breadth

Analysis -

⠀In the question, It has been stated that sides of a rectangle are in ratio of 3:2 and the area of rectangle is 486m² also, if cost of fencing m² is ₹40 then what should be the total cost? We will find out the answer by using the formula of perimeter of rectangle. Let's get it!

⠀As we have been given that, the rectangle sides are in ratio of 3 : 2

⠀So, Let's the side be x

$\begin{gathered}{\underline{\pmb{\bigstar{\sf{ \: According\:to\:the\:question : }}}}}\\\\\end{gathered}$

$\begin{gathered}\longrightarrow{\pmb{\sf{\red{Area_{ \:(rectangle)} = {486cm}^{2}}}}}\\\\\\ \longrightarrow\sf{Length \times Breadth = {486cm}^{2}} \\\\\\ \longrightarrow\sf{ \: 3x \: \times 2x = {486cm}^{2}}\\\\\\ \longrightarrow\sf{ {6x}^{2} = {486cm}^{2}} \\\\\\ \longrightarrow \sf{{x}^{2} = \dfrac{486}{6}}\\\\\\ \longrightarrow\sf{ {x}^{2} = 81}\\\\\\ \longrightarrow\sf{x = \sqrt{81} } \\\\\\ \longrightarrow\underline{\boxed{ \pmb{\sf{\red{x = 9}}}}}\end{gathered}$

Now,

⠀We have been gotted our required value of x and now only perimeter of rectangle and total cost of fencing are pending. So, Let's do this too! By applying the formula of perimeter of rectangle but before we find the Value of 3x and 2x

So,

3x = 3 × 9 = 27cm

2x = 2 × 9 = 18cm

Since,

$\begin{gathered}\:\:\dashrightarrow \pmb{\sf{\red{Perimeter_{\:(Rectangle)} = 2(l+b)}}}\\\\\\ \dashrightarrow\sf{Perimeter = 2 \: (27 + 18)} \\\\\\ \dashrightarrow \sf{Perimeter = 2(45)} \\\\\\ \dashrightarrow \underline{\sf {\red{Perimeter = 90m}}}\end{gathered}$

Therefore,

Cost of fencing per metre = ₹40

Cost of fencing at 90m = 90 × 40

Total cost of fencing at 90m = ₹3600

Final Answer -

★ Perimeter of the rectangle is 90m & The cost of fencing at 90m is ₹3600

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