Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

what is the answer????

What Is The Answer class=

Sagot :

devishri1977

Answer:

Step-by-step explanation:

To find the breadth use Pythagorean theorem

Breadth² = diagonal² - length²

               = 34² - 30²

               = 1156 - 900

               = 256

Breadth = √256 = 16 cm

Breadth = 16 cm

Perimeter = 2*(length + breadth) = 2*(30 + 16) = 2*46 = 92 cm

Area = length * breadth = 30 *16 = 480 cm²

S O L U T I O N:

Let's assume that the given rectangle be ABCD and in that let ∆ABC be the right angled triangle formed from it.

Now we've been asked to find out the breadth. By applying Pythagoras theorem here in our rectangle ABCD we have,

  • length (l) = 30cm

  • diagonal (d) = 34cm

  • breadth (b) = ?

[tex]:\implies\tt{ {b}^{2} = {d}^{2} - {l}^{2} }[/tex]

[tex]:\implies\tt{ {b}^{2} = {34}^{2} - {30}^{2} }[/tex]

[tex]:\implies\tt{ {b}^{2} = 1156 - 900}[/tex]

[tex]:\implies\tt{ {b}^{2} = 256}[/tex]

[tex]:\implies\tt{b = \sqrt{256} }[/tex]

[tex]:\implies\tt{b = 16}[/tex]

For the formula of area (a) = ? it is given by,

[tex]:\implies\tt{a = l \times b}[/tex]

[tex]:\implies\tt{a = 30 \times 16}[/tex]

[tex]:\implies\tt{a = 480 {cm}^{2} }[/tex]

For the formula of perimeter (p) = ? is given by,

[tex]:\implies\tt{p = 2 \times (l + b)}[/tex]

[tex]:\implies\tt{p = 2 \times (30 + 16)}[/tex]

[tex]:\implies\tt{p = 2 \times 46}[/tex]

[tex]:\implies\tt{p = 92cm}[/tex]

  • The breadth, area and perimeter of rectangle is 16, 480cm² and 92cm.
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.