Math, asked by Anonymous, 1 year ago

q 9; 10.and 11
I don't understand for 10 and 11q 9 I think I m wrong so please also do that
answer with step by step​

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Answered by shadowsabers03
1

9.

As you marked in the question, the length and breadth of the rectangle are being taken as 4 units and 2 units respectively.

Let me do it in a different way!!!

Area of the rectangle will be 4 × 2 = 8 unit^2.

Now, consider the bottom white (unshaded) small triangle, whose area is equal to that of the small shaded triangle at right, and which is between the shaded triangles.

Its base length is half the length of the rectangle, equal to the breadth of the rectangle, i.e., 2 units, and its altitude is half the breadth of the rectangle, i.e., 1 unit.

So its area is 1/2 × 2 × 1 = 1 unit^2.

Now we have to deduct this 1 unit^2 from half the area of the rectangle, to get the area of the shaded portion.

Half the area of the rectangle = 8/2 = 4 unit^2.

Area of the shaded portion = 4 - 1 = 3 unit^2

Okay. The area of the shaded portion, divided by that of the rectangle, is the answer.

And that answer is 3/8, which is option (B).

There is a simple method for this.

It should be better to give the dimensions of the rectangle as 2 units and 4 units as we mentioned earlier. So the area is 8 unit^2.

Now we have to cut the rectangle into half by lines horizontally and vertically through the point of intersection of the diagonals.

When we cut it, we get 8 equal pieces, similar to the small shaded triangle at bottom. Among these 8 ones, 3 ones will be seemed as shaded. So we get the answer 3/8!!!

10.

I think mine is not correct because the question is not clear for me.

The four players should score 20 goals in total. So, let the no. of goals Michael scored be 6, the greatest no. of goals as option given.

If Michael scored 6 goals, then the other players should score a total of 14 goals.

Given that Michael scored the fewest. So consider two players scored 7 and 8 goals each. But the sum of these scores, i.e., 15, exceeds 14.

So 6 is not the answer.

Let the no. of goals Michael scored be 5.

Consider two players scored 6 and 7 goals each.

So the fourth players should score 2 goals, which is fewer than Michael's.

So 5 is not.

Consider 4 as no. of goals scored by Michael.

Assume two players scored 5 and 6 each.

So the fourth players should score 5 goals. But given that the no. of goals scored by each player are different.

So 4 can't be.

Consider 3 as the answer.

Consider two players scored 4 and 5 goals each.

So the fourth player should score 8 goals.

Oh, we got the answer!!!

So the answer is (B)3.

11. Answer is (D) 100 cm.

From the 220 cm wide 3-seater sofa and 160 cm wide 2-seater sofa, we get that each seat alone is 60 cm wide.

So subtract this 60 cm from the width of the 2-seater sofa, thus we get 100 cm as the answer.

This 100 cm is the width of the seat and the armrests of the 1-seater sofa altogether.

Hope this helps you. Plz mark it as the brainliest.

Plz ask me if you've any doubts.

Thank you. :-))

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