Test: Area - Ambitious

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Question 1:   Find the side length of a square if its diagonal is equal to 8 2
6 2
4 2
8cm
16cm
Question 2:   Find the side length of an equilateral triangle if its height is equal to 6
6
2 3
6
2 2
Question 3:   Which of the sets of numbers are the side lengths of a triangle?
6 ,5,4
2 2 , 2 ,1
1,2,3
12,8,3
Question 4:   Which of the sets of numbers are the side lengths of a triangle?
1,1, 6
8,12, 8
2 , 3 , 5
1 2 , 1 3 , 1 6
Question 5:   Find the perimeter of a rectangle:
4a1
4a
4a+1
4a+4
Question 6:   Find the side length of a square if its area is equal to 72c m 2
9cm
6 2 cm
18cm
10cm
Question 7:   Area of a rectangle is 96c m 2 . Find the perimeter of a rectangle if its sides are in ratio 2:3
40cm
48cm
32cm
24cm
Question 8:   How many times is increased the perimeter of a rectangle, where its side length is increased by 2 ?
6 times
2 times
8 times
4 times
Question 9:   How many times is increased the area of a rectangle, where its side length is increased by 2?
2 times
6 times
4 times
8 times
Question 10:   Perimeter of a rectangle is 72cm . If one side of the rectangle is increased by 20% and the second side is decreased by 4cm , its perimeter does not change. What are the lengths of its sides?
14cm,22cm
8cm,28cm
12cm,24cm
16cm,20cm