There is a frame with a portrait in it. The length and breadth of the frame are in the ratio 8 : 7.

If the entire frame is 450 cm in perimeter, find the length of the frame.

120 cm

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130 cm

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100 cm

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105 cm

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Solution

The correct option is A
120 cm

Let breadth be 7x and length be 8x

Perimeter = 2(l+b) = 450 cm

$\Rightarrow$ l + b = 225 cm

According to the question , l + b = 7x + 8x = 15x = 225

$\Rightarrow$ x = 15 cm

$∴$ Length of the frame = 8x = 8 $\times$ 15 = 120 cm

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There is a frame with a portrait in it. The length and breadth of the frame are in the ratio 8 : 7. If the entire frame is 450 cm in perimeter, find the length of the frame.

The correct option is A 120 cm Let breadth be 7x and length be 8x Perimeter = 2(l+b) = 450 cm ⇒ l + b = 225 cm According to the question , l + b = 7x + 8x = 15x = 225 ⇒ x = 15 cm ∴ Length of the frame = 8x = 8×15 = 120 cm

There is a frame with a portrait in it. The length and breadth of the frame are in the ratio 8 : 7.

If the entire frame is 450 cm in perimeter, find the length of the frame.

The correct option is A
120 cm

Let breadth be 7x and length be 8x

Perimeter = 2(l+b) = 450 cm

$\Rightarrow$ l + b = 225 cm

According to the question , l + b = 7x + 8x = 15x = 225

$\Rightarrow$ x = 15 cm

$∴$ Length of the frame = 8x = 8 $\times$ 15 = 120 cm