Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
Q21
X cm
The dimensions of a rectangular cardboard are 26 cm x 16 cm.
A square of side x cm is cut away from each corner of the
cardboard. The remaining part is folded up to form an open box.
20.
(a) Express the base area of the open box in terms of x.
wɔ 91
(q)
the box.
If the base area of the box is 200 cm², find the volume of
26 cm
21.
The figure shows a dartboard, where O is the common centre of three
circles. The radius of the smallest circle is 5 cm, and the radius of each
outer circle is larger than its inner circle by x cm. If the total area of the
shaded regions is twice the area of the white region, find the radius of
the largest circle.
In the figure, an isosceles triangle EFG, where EF= GF, is cut away
from an isosceles trapezium ABCD to form a V-shaped logo
16 cm
22.
x cm
X cm D
ABCDEFG.
col
(8)
Express the area of the logo in terms of x.
*(2x +5) c
(1) (4)
Hence, find the perimeter of ABCDEFG.
(!)
(Leave your answer in surd form.)
If the area of the logo is 480 cm², find the value of x.
B 12 cm
The figure shows a parallelogram ABCD of height x cm. The length of AB is 6 cm more than its height
and the lenath of RCi, 1
Transcribed Image Text:X cm The dimensions of a rectangular cardboard are 26 cm x 16 cm. A square of side x cm is cut away from each corner of the cardboard. The remaining part is folded up to form an open box. 20. (a) Express the base area of the open box in terms of x. wɔ 91 (q) the box. If the base area of the box is 200 cm², find the volume of 26 cm 21. The figure shows a dartboard, where O is the common centre of three circles. The radius of the smallest circle is 5 cm, and the radius of each outer circle is larger than its inner circle by x cm. If the total area of the shaded regions is twice the area of the white region, find the radius of the largest circle. In the figure, an isosceles triangle EFG, where EF= GF, is cut away from an isosceles trapezium ABCD to form a V-shaped logo 16 cm 22. x cm X cm D ABCDEFG. col (8) Express the area of the logo in terms of x. *(2x +5) c (1) (4) Hence, find the perimeter of ABCDEFG. (!) (Leave your answer in surd form.) If the area of the logo is 480 cm², find the value of x. B 12 cm The figure shows a parallelogram ABCD of height x cm. The length of AB is 6 cm more than its height and the lenath of RCi, 1
Expert Solution
Step 1

Given that radius of a smaller circle = 5

Radius of a middle circle  = 5+x

radius of a larger circle  = 5+2x

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