The length and breadth of a rectangle are in the ratio 6 : 5 and its perimeter is 110 m. The area of the rectangle is ___ $c m^{2}$

650

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700

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750

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800

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Solution

The correct option is C
750

Let the length and breadth of the rectangle be $6 \times$ and $5 \times$ respectively

Perimeter = 2 (l + b)

110 = 2(6 x + 5 x)

x = 5

$∴$ length (l) = 6(5) = 30 m

breadth (b) = 5(5) = 25 m

Area of rectangle $= l \times b$

$= (30) (25)$

$= 750 m^{2}$

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The length and breadth of a rectangle are in the ratio 6 : 5 and its perimeter is 110 m. The area of the rectangle is ___ cm2

The correct option is C 750 Let the length and breadth of the rectangle be 6× and 5× respectively Perimeter = 2 (l + b) 110 = 2(6 x + 5 x) x = 5 ∴ length (l) = 6(5) = 30 m breadth (b) = 5(5) = 25 m Area of rectangle =l×b =(30)(25) =750 m2

The length and breadth of a rectangle are in the ratio 6 : 5 and its perimeter is 110 m. The area of the rectangle is ___ $c m^{2}$

The correct option is C
750

Let the length and breadth of the rectangle be $6 \times$ and $5 \times$ respectively

Perimeter = 2 (l + b)

110 = 2(6 x + 5 x)

x = 5

$∴$ length (l) = 6(5) = 30 m

breadth (b) = 5(5) = 25 m

Area of rectangle $= l \times b$

$= (30) (25)$

$= 750 m^{2}$