Test:
Area - Ambitious
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Question 1:
Find the side length of a square if its diagonal is equal to
$8\sqrt{2}$
A
$16cm$
B
$6\sqrt{2}$
C
$4\sqrt{2}$
D
$8cm$
Question 2:
Find the side length of an equilateral triangle if its height is equal to
$\sqrt{6}$
A
$\sqrt{6}$
B
$2\sqrt{2}$
C
$2\sqrt{3}$
D
$6$
Question 3:
Which of the sets of numbers are the side lengths of a triangle?
A
$1,2,3$
B
$2\sqrt{2},\sqrt{2},1$
C
$\sqrt{6},5,4$
D
$12,8,3$
Question 4:
Which of the sets of numbers are the side lengths of a triangle?
A
$8,12,\sqrt{8}$
B
$\sqrt{2},\sqrt{3},\sqrt{5}$
C
$\frac{1}{2},\frac{1}{3},\frac{1}{6}$
D
$1,1,\sqrt{6}$
Question 5:
Find the perimeter of a rectangle:
A
$4a$
B
$4a-1$
C
$4a+4$
D
$4a+1$
Question 6:
Find the side length of a square if its area is equal to
$72c{m}^{2}$
A
$9cm$
B
$18cm$
C
$10cm$
D
$6\sqrt{2}cm$
Question 7:
Area of a rectangle is
$96c{m}^{2}$
. Find the perimeter of a rectangle if its sides are in ratio
$2:3$
A
$48cm$
B
$32cm$
C
$24cm$
D
$40cm$
Question 8:
How many times is increased the perimeter of a rectangle, where its side length is increased by
$2$
?
A
$4$
times
B
$8$
times
C
$6$
times
D
$2$
times
Question 9:
How many times is increased the area of a rectangle, where its side length is increased by 2?
A
$6$
times
B
$4$
times
C
$8$
times
D
$2$
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?
A
$16cm,20cm$
B
$14cm,22cm$
C
$12cm,24cm$
D
$8cm,28cm$
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