# Test: Area - Ambitious

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