If the length of a rectangle is (2x + 3) cm and width is (2x + 1) cm, and if the perimeter of rectangle is 168cm. Then find its area.
Answers
Answer:
Given: length = 17 cm, breadth = 13 cm
Perimeter of rectangle = 2 (length + breadth)
= 2 (17 + 13) cm
= 2 × 30 cm
= 60 cm
We know that the area of rectangle = length × breadth
= (17 × 13) cm2
= 221 cm2
Given : length of a rectangle is (2x + 3) cm and width is (2x + 1) cm, and the perimeter of rectangle is 168cm.
To Find: area.
Solution:
length of a rectangle = (2x + 3) cm
width of a rectangle = (2x + 1) cm
Perimeter = 2( length + width )
= 2(2x + 3 + 2x + 1)
= 2(4x + 4)
= 8(x + 1) cm
8(x + 1) = 168
=> x + 1 = 21
=> x = 20
length of a rectangle = (2(20) + 3) = 43cm
width of a rectangle = (2(20) + 1) = 41 cm
Area = 43 * 41
= 1763 m²
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