find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm
Answers
Answered by
1
Answer:
Given that length of the side of the rectangle is l=40cm and
the length of the diagonal is d=41cm
let breadth be bcm
Therefore, l
2
+b
2
=d
2
⟹40
2
+b
2
=41
2
⟹b
2
=81
⟹b=9cm
we know that the perimeter of the rectangle is 2(l+b)=2(40+9)=98cm
Answered by
0
Answer:
PERIMETER IS 98CM
Step-by-step explanation:
length,l=40 cm. Breadth=b
diagonal,d²=l²+b²
b=√(d²-l²)
perimeter=2l +2b
=2l +2√(d²-l²)
=2*40+2√(41²-40²)
=80+2√(41-40)(41+40). { a²-b²=(a+b)(a-b)}
=80+2*√81
=80+2*9
=80+18
=98 cm
Similar questions