The area of a rectangular piece of a board is 288 cm 2- If the width is twice the length- what is the width of the board-A- 26 cmB- 9 cmC- 12 cmD- 4 cm

The correct option is A 26 cm Let the length = x ∴ breadth = 2x Area of a rectangle = length × breadth ∴ 288 = x×2x ⇒ 288= 2x^2 ⇒144 = x^2 ⇒ x = 12 ⇒ brea ...

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Standard VII

Mathematics

Perimeter of Square and Rectangle

The area of a...

Question

The area of a rectangular piece of a board is 288 cm². If the width is twice the length, what is the width of the board?

26 cm

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4 cm

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9 cm

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12 cm

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Solution

The correct option is A
26 cm

Let the length = $x$
$∴$ breadth = $2 x$
Area of a rectangle = length $\times$ breadth
$∴$ 288 = $x \times 2 x$
$\Rightarrow 288$ = $2 x^{2}$
$\Rightarrow 144$ = $x^{2}$
$\Rightarrow$ x = 12
$\Rightarrow$ breadth = $2 \times 12$ = 24 cm

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The area of a rectangular piece of a board is 288 cm2. If the width is twice the length, what is the width of the board?

The correct option is A 26 cm Let the length = x ∴ breadth = 2x Area of a rectangle = length × breadth ∴ 288 = x×2x ⇒288= 2x2 ⇒144 = x2 ⇒ x = 12 ⇒ breadth = 2×12 = 24 cm

The area of a rectangular piece of a board is 288 cm². If the width is twice the length, what is the width of the board?

The correct option is A
26 cm

Let the length = $x$
$∴$ breadth = $2 x$
Area of a rectangle = length $\times$ breadth
$∴$ 288 = $x \times 2 x$
$\Rightarrow 288$ = $2 x^{2}$
$\Rightarrow 144$ = $x^{2}$
$\Rightarrow$ x = 12
$\Rightarrow$ breadth = $2 \times 12$ = 24 cm