Half the perimeter of a rectangular garden, whose length is 8cm more than its width, is 42cm. Find the area of the rectangular garden.
- A524 cm²
- B425 cm²
- C254 cm²
- D542 cm²
Solution & Step-by-step Explanation
Let the width of the rectangular garden be wcm.
Then, length l=w+8.
Half the perimeter of a rectangle is equal to the sum of its length and width:
Half Perimeter=l+w=42
(w+8)+w=42
2w+8=42
2w=34⟹w=17cm
Now, find the length:
l=17+8=25cm
The area of the rectangular garden is:
Area=l×w=25×17=425cm
2
Then, length l=w+8.
Half the perimeter of a rectangle is equal to the sum of its length and width:
Half Perimeter=l+w=42
(w+8)+w=42
2w+8=42
2w=34⟹w=17cm
Now, find the length:
l=17+8=25cm
The area of the rectangular garden is:
Area=l×w=25×17=425cm
2