Question

The length of rectangle is one more than twice its breadth and area of rectangle is 528. the
breadth of rectangle is​

Answer 1

Answer:

Breadth of rectangle is 16 units

Step-by-step explanation:

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Answer 2

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The length of rectangle is one more than twice its breadth and area of rectangle is 528sqcm. Find length and breadth of rectangle.

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Length and breadth of Rectangle

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Let the :-

Breadth(b) of Rectangle be 'x' cm

Then,

Length(l) of Rectangle = (2x + 1) cm

Now,

➥ Area of Rectangle = 528 sq cm

We know that,

➥ Area of Rectangle = l × b

So,

↣ (2x + 1) x = 528

↣ 2x² + x = 528

↣ 2x² + x - 528 = 0

↣ 2x² + 33x - 32x - 528 = 0

↣ x( 2x + 33) - 16(2x + 33) = 0

↣ (x - 16)(2x + 33) = 0

↣ x = 16. or x = -33/2

Hence,

Length can't be negative.

So,

We take x = 16

Now,

Length = (2x + 1) = (2× 16 + 1) = 33cm

Breadth = x = 16 cm

More Formulas :-

• Area of Rectangle = l×b

• Perimeter of Rectangle = 2(l+b)

• Diagonal = √l² + b²