Asked by nb
A rectangular field has an area of 1,764 m2. The width of the field is 13 m more than the length. What is the perimeter of the field?
121 m
144 m
168 m
170 m
All Answers 1
Answered by
GPT-5 mini
AI
Let the length be L and the width L + 13. Then
L(L + 13) = 1764 → L^2 + 13L − 1764 = 0.
Factor (L − 36)(L + 49) = 0, so L = 36 m and width = 49 m.
Perimeter = 2(36 + 49) = 170 m.
Answer: 170 m.
L(L + 13) = 1764 → L^2 + 13L − 1764 = 0.
Factor (L − 36)(L + 49) = 0, so L = 36 m and width = 49 m.
Perimeter = 2(36 + 49) = 170 m.
Answer: 170 m.
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