Question

A rectangular park has a perimeter of 374 feet and a length of 65 feet.

What is the width of the park?

Answer 1

$perimeter = 374 ft \\ 2(l + b) = 374 \\ 2(65 + b) = 374 \\ 65 + b = \frac{374}{2} \\ 65 + b = 187 \\ b = 187 - 65 \\ b = 121ft$

$width = 121ft$

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Answer 2

GIVEN:

• Perimeter of rectangular park = 374 feet
• Length of the rectangular park = 65 feet

TO FIND:

• What is the width of the park ?

SOLUTION:

Let the width of the park be 'B'

We know that the formula for finding the perimeter of rectangular park is:-

$\large\bf{ Perimeter = 2(Length + Breadth)}$

According to question:-

$\rm{ \rightharpoonup 374 = 2(65 + B)}$

$\rm{ \rightharpoonup \cancel\dfrac{374}{2} = 65 + B}$

$\rm{ \rightharpoonup 187 = 65 + B}$

$\rm{ \rightharpoonup 187 - 65 = B}$

$\bf{ \rightharpoonup \star \: Breadth = 122 \: feet \: \star}$

❝ The breadth of the rectangular park is 122 feet. ❞

_____________________

VERIFICATION:

Put the values in the formula

➠ $\bf{ 374 = 2(65 + 122)}$

➠ $\bf{ 374 = 2 \times 187}$

➠ $\bf{ 374 = 374}$

➠ $\rm{ [L.H.S. = R.H.S.]}$

VERIFIED....