Math, asked by hsurjev, 7 months ago

The diagram shows a square with a perimeter 40cm. Work out the percentage of the area inside the square that is shaded

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Answers

Answered by sanjanaojhaa
55

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 !!!!!!!

Answered by 22yipja
0

Answer:3r3re

Step-by-step explanation:

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