# Test: Area - Challenging

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Question 1:   Find the area and the perimeter of a square with the sides $3.5cm$
$\left\{\begin{array}{l}Area=14c{m}^{2}\\ Perimeter=14cm\end{array}$
$\left\{\begin{array}{l}Area=7c{m}^{2}\\ Perimeter=14cm\end{array}$
$\left\{\begin{array}{l}Area=12.25c{m}^{2}\\ Perimeter=14cm\end{array}$
$\left\{\begin{array}{l}Area=12c{m}^{2}\\ Perimeter=7cm\end{array}$
Question 2:   What is the length of the side of a square with the area $36c{m}^{2}$?
$8cm$
$9cm$
$18cm$
$6cm$
Question 3:   The area of a rectangle is $20c{m}^{2}$and the length is $4cm$. What is the width of the rectangle?
$5cm$
$6cm$
$3cm$
$4cm$
Question 4:   Sides of a triangle are . Find the area of the triangle
$36.58c{m}^{2}$
$42.43c{m}^{2}$
$21.57c{m}^{2}$
$46.91c{m}^{2}$
Question 5:   Base of a triangle is $5cm$ and the area is $27.5c{m}^{2}$. Find the height of the triangle
$11.5cm$
$12cm$
$11cm$
$13cm$
Question 6:   Find the circumference and the area of a circle with the radius $7.3cm$
$\left\{\begin{array}{l}c=45.87cm\\ a=167.44c{m}^{2}\end{array}$
$\left\{\begin{array}{l}c=29.22cm\\ a=152.61c{m}^{2}\end{array}$
$\left\{\begin{array}{l}c=42cm\\ a=168c{m}^{2}\end{array}$
$\left\{\begin{array}{l}c=37.52cm\\ a=168.82c{m}^{2}\end{array}$
Question 7:   Find the area of a sector: $A=108.71c{m}^{2}$
$A=150.80c{m}^{2}$
$A=121.71c{m}^{2}$
$A=124.25c{m}^{2}$
Question 8:   Find the arc length: $L=15.71cm$
$L=12.27cm$
$L=13.69cm$
$L=14.88cm$
Question 9:   Find the area of the following quadrilateral: $A=19.64$
$A=15.08$
$A=12.34$
$A=17.58$
Question 10:   Find the area of the following rhombus: $A=32$
$A=32.75$
$A=16$
$A=4$