the perimeter of rectangle is 98cm and it's breath is 9cm .find length and lenght of diogonal
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Answer:
let the lenght of rectangle be x
perimeter= 2(l+b)
2(x+9)=98
2x+18=98
2x=98-18
2x=80
x=80/2
x=40
length = 40
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- Here, Perimeter of rectangle = 98 cm
- Breath of rectangle = 9 cm
- So, we know that perimeter of rectangle = 2(l+b)
- 98 = 2(l+9)
- l+9 = 98/2
- length = 49-9
- length = 40cm
- By paythagores theorem,
- (length of diagonal)^2 = (length) ^2+(breath)^2
- length of diagonal = √ (40)^2 + (9)^2
- = √ 1600+81
- = √ 1681
- length of diagonal = 41 cm
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