Question

She sides a rectangle are en a vratio 5'4 and its
perimeter is 90cm. Find its length and breath.​

Answer 1

Correct Question : the sides of a rectangle are in the ratio 5:4 and its perimeter is 90 cm. find its length and breadth.

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Step-by-step explanation:

Let Length and Breadth be 5x and 4x respectively.

〄 According to Question now,

➔ Perimeter = 2(Length + Breadth)

➔ 90 = 2(5x + 4x)

➔ 90/2 = 9x

➔ 45 = 9x

➔ x = 45/9

➔ x = 5 cm

▣ Therefore,

• Length = 5x = 5(5) = 25 cm

• Breadth = 4x = 4(5) = 20 cm

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$\boxed{\bf{\mid{\overline{\underline{\bigstar\: Extra\: Brainly \: Knowledge :}}}}\mid}$

$\boxed{\bigstar{\sf \ Cylinder :- }}\\ \\\sf {\textcircled{\footnotesize1}} Volume \ of \ Cylinder= \pi r^2 h \\ \\ \\ \sf {\textcircled{\footnotesize2}}\ Curved \ surface\ Area \ of \ cylinder= 2\pi r h\\ \\ \\ \sf {\textcircled{\footnotesize3}} Total \ surface \ Area \ of \ cylinder= 2\pi r (h+r)$

$\boxed{\bigstar{\sf \ Cone :- }}\\ \\\sf {\textcircled{\footnotesize1}} Volume \ of \ Cone= \dfrac{1}{3}\pi r^2 h \\ \\ \\ \sf {\textcircled{\footnotesize2}}\ Curved \ surface\ Area \ of \ Cone = \pi r l \\ \\ \\ \sf {\textcircled{\footnotesize3}} Total \ surface \ Area \ of \ Cone = \pi r (l+r) \\ \\ \\ \sf {\textcircled{\footnotesize4}} Slant \ Height \ of \ cone (l)= \sqrt{r^2+h^2}$

$\boxed{\bigstar{\sf \ Hemisphere :- }}\\ \\\sf {\textcircled{\footnotesize1}} Volume \ of \ Hemisphere= \dfrac{2}{3}\pi r^3 \\ \\ \\ \sf {\textcircled{\footnotesize2}}\ Curved \ surface\ Area \ of \ Hemisphere = 2 \pi r^2 \\ \\ \\ \sf {\textcircled{\footnotesize3}} Total \ surface \ Area \ of \ Hemisphere = 3 \pi r^2$

$\boxed{\bigstar{\sf \ Sphere :- }}\\ \\\sf {\textcircled{\footnotesize1}} Volume \ of \ Sphere= \dfrac{4}{3}\pi r^3 \\ \\ \\ \sf {\textcircled{\footnotesize2}}\ Surface\ Area \ of \ Sphere = 4 \pi r^2$

Answer 2

Correct question:

The sides of a rectangle are in the ratio 5:4 and its perimeter is 90 cm. Find its length and breadth.

Step-by-step explanation:

Given :-

• The sides of the a rectangle are in the ratio 5:4.
• Perimeter of the rectangle is 90 cm.

To find :-

• Length and breadth of the rectangle.

Solution :-

Let the length of the rectangle be 5x cm and the breadth of the rectangle be 4x cm.

Formula used :

${\boxed{\sf{Perimeter\:of\: rectangle=2(length+Breadth)}}}$

According to the question,

2(5x+4x) = 90

→ 2×9x = 90

→ 9x = 90/2

→ 9x = 45

→ x = 45/9

→ x = 5

Then,

• Length of the rectangle = 5×5 = 25 cm
• Breadth of the rectangle = 4×5 = 20 cm

Therefore, the length is 25 cm and the breadth is 20 cm.

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More info :-

• Area of rectangle = length × Breadth
• Diagonal of rectangle = √(l²+b²)
• Perimeter of square = 4 × side
• Area of square = side²