Question

(b)

A pair of adjacent sides of a rectangle are in the ratio 4:3. If its diagonal is 20 cm
find the lengths of the sides and hence, the perimeter of the rectangle,

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Answer 1

Answer:

PLZ MARK AS BRAINLIEST !

Step-by-step explanation:

Given length:breadth = 4:3

Let length = 4x and breadth = 3x

Diagonal = 25 cm

Since the diagonal and the two adjacent sides of a rectangle form a right angled triangle

By Pythagoras theorem, we have

252 = (4x)2 + (3x)2

625 = 16x2 + 9x2 = 25x2

⇒ x2 = 25

∴ x = 5

Hence length = 4x = 20 m and breadth = 3x = 15 m

Perimeter of rectangle = 2(length + breadth)

                                   = 2(20+15) = 70 m

Answer 2

Answer:

it formed right angled triangle..

h² = b² + p²

(20)² = (4x)² + (3x)²

400 = 16x² + 9x²

400 = 25x²

x² = 400÷25

x² = (20/5)²

x = 20÷5

x = 4

length = 4×4 = 16 cm

breath = 3×4 = 12 cm

perimeter of rectangle = 2(l+b)

= 2(16 + 12)

= 2×28

= 56 cm

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