If the perimeter of a rectangle is 23 cm and its width is 4 cm, then find the length of the rectangle.

7.5 cm

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8.5 cm

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3.8 cm

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4.6 cm

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Solution

The correct option is A
7.5 cm

Let the length of the rectangle be $x$ cm.
The perimeter is calculated as,
$2 \times (length + width)$ .

$∴ 2 \times (length + width) = 23 cm \Rightarrow 2 \times (x + 4) = 23 \Rightarrow 2 x + 8 = 23 \Rightarrow 2 x = 23 - 8 \Rightarrow 2 x = 15 \Rightarrow x = \frac{15}{2}$

$∴$ The length of the rectangle is $\frac{15}{2}$ cm.

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If the perimeter of a rectangle is 23 cm and its width is 4 cm, then find the length of the rectangle.

The correct option is A 7.5 cm Let the length of the rectangle be x cm. The perimeter is calculated as, 2×(length+width). ∴2×(length+width)=23 cm⇒ 2×(x+4)=23⇒ 2x+8=23⇒ 2x=23−8⇒ 2x=15⇒ x=152 ∴ The length of the rectangle is 152 cm.