Question

a rectangular shape garden is 1 feet longer than it is wide and has area of 90sq. feet . find the dimensions of the garden

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Answer 1

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Q) In a rectangular shaped garden , the length is 1feet longer than its width and has area of 90 feet² . Find the dimensions of the garden .

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★ Given :

• Length = Width/breadth + 1 feet
• Area of the garden = 90 feet²

★ To Find :

• Length = ?
• Breadth = ?

★ Solution :

• Let breadth be x feet

so , according to the Question ,

• Length = x + 1 feet

Using the Formula to find area of the rectangle :

$\boxed{ \sf \: area = length \times breadth}$

$\mapsto \rm \: 90 = (x + 1)(x)$

$\mapsto \rm \: 90 = {x}^{2} + x$

$\mapsto \rm \: {x}^{2} + x - 90 = 0$

$\mapsto \rm \: {x}^{2} + 10x - 9x - 90 = 0$

$\mapsto \rm \: x(x + 10) - 9(x + 10) = 0$

$\mapsto \rm \: (x + 10) (x - 9) = 0$

So , either

$\rm \: x + 10 = 0 \\ \rm \: x= - 10 \\ \sf\{ \red{rejected \: as \: length \: isn't \: negative} \}$

Or ,

$\rm \: x - 9 = 0 \\ \purple{\boxed{ \rm x = 9}}$

So ,

• Breadth/Width = x = 9 feet
• Length = x + 1 = 10 feet

And ,

$\boxed{ \bf \: dimensions = 10 \: feet \times 9 \: feet}$

★ More about Rectangle :

• Rectangle is a four sided figure / Quadrilateral .

• Area of Rectangle = length × breadth .

• Perimeter of Rectangle = 2(length + breadth) .

→ unit of area = unit² .

→ unit of Perimeter = unit .

Answer 2

Answer:

My dear friend,

We have given that a rectangle garden of length L and width W ... Find out, both the dimensions of the rectangular garden =... ... The length of the garden is to be 5 feet longer than the width.

Step-by-step explanation:

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