mahalajsThe length of the rectangular field is 10 m more than that of the breadth and the
perimeter is 160 m.Find the area of the rectangle?
Answers
Answer:
area of rectangle is = 1575m²
mark me as brilliant
The area of the rectangle is 1575 m²
Explanation:
Given:
1. The length of the rectangular field is 10 m more than that of the breadth
2. The perimeter is 160 m.
Formula:
Area of the rectangle = l×b sq units
Perimeter of the rectangle = 2×(l+b)
Solution:
==> Perimeter = 160 m
==> Form the given Condition,
==> let, length be l and breadth be b.
==> Length = l
==> Breadth=b
==> length of the rectangular field is 10 m more than that of the breadth
==> l = 10+b
==> Substitute the l and b value in perimeter formula
==> P = 2(l+b)
==> P=160cm
==> 160 = 2((10+b)+b)
==> 160 = 2(10+2b)
==> 160÷2 = 10+2b
==> 80 = 10+2b
==> 2b = 80-10
==> 2b = 70
==> b = 70÷2
==> b = 35
==> l = 10+b
==> Substitute b value in the equation
==> l = 10+35
==> l=45
==> Area of the rectangle = l×b
==> Area = 35×45
==> Area = 1575 m²
The area of the rectangle is 1575 m²