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A rectangular field is 16m broad and the ratio of the length and breadth is 3:2. 1.find the length of the field 2.find the peri
Question
A rectangular field is 16m broad and the ratio of the length and breadth is 3:2.
1.find the length of the field
2.find the perimeter of the field
3.find the area of the field.
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Mathematics
3 years
2021-08-02T08:22:44+00:00
2021-08-02T08:22:44+00:00 1 Answers
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Answers ( )
Answer:
x = length of the rectangle = 24 m
Perimeter of the field = 80 m
Area of the field = 384 square meter
Step-by-step explanation:
Width of the rectangle = 16 m
Ratio of the length and width = 3:2
Let
x = length of the rectangle
Ratio of the length and width = x : 16
Equate both ratios
x : 16 = 3 : 2
x/16 = 3/2
Cross product
x * 2 = 16 * 3
2x = 48
x = 48/2
x = 24
x = length of the rectangle = 24 m
Perimeter of the field = 2(length + width)
= 2(24 m + 16 m)
= 2(40 m)
= 80 m
Perimeter of the field = 80 m
Area of the field = length × width
= 24 m × 16 m
= 384 m²
Area of the field = 384 square meter