9. Find the perimeter of a rectangular field whose length is four times its width and which has an area
equal to 30976 cm-.
Answers
I think that the area should be in metres because it is a field..
If it is in metres just change the units everywhere in the solution from cm to m.
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MARK AS THE BRAINLIEST ANSWER PLEASE.
Answer:
Perimeter = 880 cm
Step-by-step explanation :
Let, width of rectangular field be x cm and length be 4x cm .
Given : Area of rectangular field ( a ) = 30976 cm²
Width ( b ) = x cm
Length ( l ) = 4x cm
Now,
a = 30976 cm²
or, l * b = 30976 ( formula of area (a) = l * b )
or, 4x * x = 30976 ( putting the value of l and b )
or, 4x² = 30976
or, x² = 30976 / 4
or, x² = 7744
or, x = √7744
∴ x = 88
Then,
∴ b = x = 88 cm
∴ l = 4x = 4 * 88 = 352 cm
Again,
Perimeter of a rectangular field = 2 ( l + b )
= 2 ( 352 + 88 )
= 2 x 440
= 880 cm .