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