area of rectangle is 24cm square
and perimeter20cm then length of diagonal what
Answers
Answer:
Step-by-step explanation:
Answer:
Diagonal of the rectangle =
Step-by-step explanation:
Given : Area of rectangle =
Perimeter of rectangle = 20 cm
To find : The diagonal of rectangle
Solution : Area of rectangle = ......[1]
Perimeter of rectangle = ......[2]
From [1] we take and put in [2]
(Take LCM)
(Middle term split)
b=6, b=4
if b=4 then l=24/4 = 6
if b=6 then l=24/6=4
There are two cases,
If b=4 and length = 6
Diagonal of the rectangle =
=
=
If b=6 and length = 4
Diagonal of the rectangle =
=
=
Therefore, Diagonal of the rectangle =
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Answer: 2√13
Step-by-step explanation:
length = l
breadth = b
Area of rectangle = lb= 24 cm
perimeter = 2 (l + b ) = 20 cm
by solving this, we get adjacent lengths of rectangle as 4 and 6.
Now, length of diagonal is hypotenus of lengths 4 and 6.
hence,
length of diagonal = √(4² + 6²)= √52 = 2√13