cation ectangular garden has a width x metres and a lengt Vrite an algebraic expression for the area of the ori Write a simplified expression for the area of the nev Vrite a simplified expression that represents the inc Fx has a value of 4 m, find the increase in the area o

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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Application
3. A rectangular garden has a width x metres and a length 3x metres. Each dimension is increased by 7
m.
a) Write an algebraic expression for the area of the original garden.
b) Write a simplified expression for the area of the new garden.
/2
d) Write a simplified expression that represents the increase area of the garden
/2
e) If x has a value of 4 m, find the increase in the area of the garden in m2.
/1
4. The backboard behind a basketball net is a rectangle whose area can be represented by the trinomial
77x2-38x-7.
a) Determine the dimensions (length and width) of the basketball net.
14
b) If x represents 17 cm, find the dimensions of the backboard in centimetres.
/2
Transcribed Image Text:Application 3. A rectangular garden has a width x metres and a length 3x metres. Each dimension is increased by 7 m. a) Write an algebraic expression for the area of the original garden. b) Write a simplified expression for the area of the new garden. /2 d) Write a simplified expression that represents the increase area of the garden /2 e) If x has a value of 4 m, find the increase in the area of the garden in m2. /1 4. The backboard behind a basketball net is a rectangle whose area can be represented by the trinomial 77x2-38x-7. a) Determine the dimensions (length and width) of the basketball net. 14 b) If x represents 17 cm, find the dimensions of the backboard in centimetres. /2
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