The diagram shows a square with a perimeter 40cm. Work out the percentage of the area inside the square that is shaded
Answers
Answer:
Hey chum here is your answer .....
Step-by-step explanation:
Let the length of side be 7+x and 4+y .
But we know that length of a square is equal.i.e, 7+x= 4+y =a (say )
=> 4a = 40
=> a= 10
But x+7=a
=> x+7= 10
=> x= 3
Also ,4+y = 10
=>y= 6
So, side of the square is 10 cm
We already know that ,area of a square = side × side .
So,area of the given square = 10×10 =100 cm^2
Now, area of the unshaded triangle on the left side with base 6cm and height 10cm is
= 1/2×10 ×6 = 5×6 = 30 cm ^2
Again , area of the unshaded triangle on the left side with base 3 cm and height 10 cm is
= 1/2×3×10 = 5×3 =>15 cm^2
So area of the shaded region =area of the square -( sum of area of the two unshaded triangle on the either sides )
= 100-(30+15)
=>100-45 =55 cm^2
percentage of the shaded area = 55/100 ×100
=>55 %
HOPE IT HELPS YOU.................
Mark as the brainliest one !!!!!!!
Answer:3r3re
Step-by-step explanation:
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