What is the answer????

Question

asked May 24, 2023 141k views

2 Answers

ABHISHEK THEPRA · Answer 1 · 2023-05-24T19:07:23+0000

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,

$:\implies\tt{ {b}^(2) = {d}^(2) - {l}^(2) }$

$:\implies\tt{ {b}^(2) = {34}^(2) - {30}^(2) }$

$:\implies\tt{ {b}^(2) = 1156 - 900}$

$:\implies\tt{ {b}^(2) = 256}$

$:\implies\tt{b = √(256) }$

$:\implies\tt{b = 16}$

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

$:\implies\tt{a = l * b}$

$:\implies\tt{a = 30 * 16}$

$:\implies\tt{a = 480 {cm}^(2) }$

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

$:\implies\tt{p = 2 * (l + b)}$

$:\implies\tt{p = 2 * (30 + 16)}$

$:\implies\tt{p = 2 * 46}$

$:\implies\tt{p = 92cm}$

Mylescc · Answer 2 · 2023-05-30T19:13:37+0000

Answer:

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