Question

the length and width of a rectangle are in ratio 4:1 .if find area of the rectangle, if the length is 64​

Answer 1

Given

• The Length and width of a rectangle are in ratio 4:1.
• Length of the rectangle is 64 units.

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To find

• Area of the rectangle.

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Solution

• We have the ratio of length and breadth of a rectangle.

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☆ Let the ratio of sides be x.

• Length = 4x
• Breadth = x

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→ But it is given that, length of the rectangle is 64 units.

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$\tt\longmapsto{4x = 64}$

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$\tt\longmapsto{x = \dfrac{64}{4}}$

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$\tt\longmapsto{x = 16}$

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Now, we have

• Length = 64
• Breadth = 16

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$\: \: \: \: \: \: \: \: \: \:\underline{\sf{\red{Using\: the\: Formula}}}$

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$\dag{\boxed{\boxed{\bf{Area_{(Rectangle)} = Length \times Breadth}}}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {Area = 64 \times 16}$

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$\tt:\implies\: \: \: \: \: \: \: \: {Area = 1,024}$

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Hence,

• Area of the rectangle is 1,024 sq. units.

Answer 2

GiveN:

• Length and width of a rectangle are in ratio = 4:1
• Length of the rectangle = 64.

To Find:

• Area of the rectangle

Formula used:

• Area of a rectangle = length × breadth

Note:

• Before finding the area of the rectangle, first we have to find the length and breadth of the rectangle but the length of the rectangle is given in 64 units.

Required Solution:

Let's assume the ratio of sides of the rectangle as:

• Length = 4x
• Breadth = x

So,

➟⠀⠀⠀4x × x = 64

➟⠀⠀⠀⠀⠀4x = 64

➟⠀⠀⠀⠀⠀⠀x = 64/4

∴⠀⠀⠀⠀⠀⠀ x = 16

Hence,

• Length of the rectangle = 64
• Breadth of the rectangle = 16

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Area of the rectangle = (l × b)

⇛⠀⠀⠀⠀⠀⠀⠀64 × 16 = 1024 sq.units

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Some Related Formulas

Perimeter of rectangle = 2 x (l + b) units

⠀⠀⠀⠀⠀⠀⠀⠀⠀---------

Area of a square = (side) sq. units

⠀⠀⠀⠀⠀⠀⠀⠀⠀---------

Perimeter of a square = (4 × side) units

⠀⠀⠀⠀⠀⠀⠀⠀⠀---------

Area of a triangle = 1/2 (base × altitude) sq. units

⠀⠀⠀⠀⠀⠀⠀⠀⠀---------

Area of a parallelogram = (base × altitude) sq. units

⠀⠀⠀⠀⠀⠀⠀⠀⠀---------

Area of a rhombus = 1/2 × (product of its diagonals) sq. units

⠀⠀⠀⠀⠀⠀⠀⠀⠀----------

Area of a circle = πr² sq.units