Question

A. 16 m, 8 m B. 15 m, 9 m
C. 14 m, 10 m D. 18 m, 6 m
The perimeter of a rectangle is
160 cm. If its sides are in the ratio
of 5 : 3, then find the length of
the rectangle
A. 50 m
B. 30 cm
C. 40 cm
D. 60 cm​

Answer 1

Answer:

$area \: of \: rectangle = 2 \times (l + b) \\l = 5x \: and \: b = 3x \\ 160 = 2 \times (5x + 3x) \\ 160 \div 2 = 8x \\ 80 = 8x \\ 80 \div 8 = x \\ 10 = x \\ then \: 5x = 10 \times 5 = 50 \\ and3x = 10 \times 3 = 30$

Step-by-step explanation:

your answer is a

Answer 2

Answer:

A. length = 16 m

bredth = 8 m

perimeter = 2( l+b )

p = 2(16+8)

p = 2(24)

p = 2×24

p = 48 m answer

B. length = 15 m

bredth = 9 m

p = 2(15+9)

p = 2(24)

p = 2×24

p = 48 m answer

3. length = 14 m

bredth = 10 m

p = 2(14+10)

p = 2(24)

p = 2×24

p = 48 m answer

4. length = 18 m

bredth = 6 m

p = 2(18+6)

p = 2(24)

p = 2×24

p = 48 m answer

Last question

let the ratio multiple be x

so, 5 : 3 = 5x , 3x

Length = 5x

Bredth = 3x

perimeter of the rectangle = 160 cm

p = 2(l+b)

160 = 2(5x + 3x)

160 = 2(8x)

160 = 2 × 8x

8x = 160/2

8x = 80

x = 80/8

x = 10

NOW,

Length = 5x = 5 × 10 = 50 cm

Bredth = 3x = 3 × 10 = 30 cm . answer

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