Step-by-step explanation:
<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>
- The length of rectangular garden is 15 feet longer than its width
- The area of rectangular garden is 700ft²
<u>To </u><u>find</u><u>:</u><u>-</u>
- Dimensions of rectangular garden
<u>Solution</u><u>:</u><u>-</u>
According to the question , let the length of rectangular garden be x and width be x + 15
<u>We know ,</u> the formula for area of rectangular garden is <u>L × B</u>
putting the known values ,
700ft.² = X × (X + 15)
700 ft. ² = x² + 15x
x² + 15 x - 700 = 0
<u>By </u><u>factorising</u><u> </u><u>it </u><u>we </u><u>get</u><u> </u><u>,</u><u> </u>x = 20
So , the dimensions of rectangular garden are 20 feet and 35 feet respectively for length and width.