1. The length of a wooden frame is 1 foot longer than its width and its area is equal to 12 ft. 2. The length of the floor is 8 m longer than its width and there is 20 square meters. 3. The length of a plywood is 0.9 m more than its width and its area is 0.36 m2.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 1ST
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ming Task 2.
A. Translate the following verbal sentences to mathematical sentence. Then e
press into quadratic equations in terms of "x".
Given
1. The length of a wooden frame is 1 foot
longer than its width and its area is equal
Quadratic Equations
to 12 ft,
2. The length of the floor is 8 m longer than
its width and there is 20 square meters.
3. The length of a plywood is 0.9 m more
than its width and its area is 0.36 m2.
4. The area of rectangle whose length is six
less than twice its width is thirty-six.
5. The width of a rectangular plot is 5 m
less than its length and its area is 84 m.
B. Solve for x:
A
Learning Task 4
Selve the following problems. Show the step by step process. And write a brief ex-
planation of what you do.
1. The width of a bedroom floor is 5 m less than its length and its area is 84 m
Find its dimensions.
2. A certain pipe can fill up a tank 2 hours faster than another pipe. It takes 3
and
hours for both pipes to fill up the same tank. In how many hours
would the first pipe fill up the tank?
3. A picture frame has its length 8 cm longer than its width. It has an inner
1-em boundary such that a maximum 660 cm-picture may fit into it. Find
the dimensions of this frame.
4. After how many seconds is needed for a thrown ball to reach a 14-m distance
if its distance is given by the relation d- 10+ 40t - 5t7 (t-time in seconds).
Transcribed Image Text:ming Task 2. A. Translate the following verbal sentences to mathematical sentence. Then e press into quadratic equations in terms of "x". Given 1. The length of a wooden frame is 1 foot longer than its width and its area is equal Quadratic Equations to 12 ft, 2. The length of the floor is 8 m longer than its width and there is 20 square meters. 3. The length of a plywood is 0.9 m more than its width and its area is 0.36 m2. 4. The area of rectangle whose length is six less than twice its width is thirty-six. 5. The width of a rectangular plot is 5 m less than its length and its area is 84 m. B. Solve for x: A Learning Task 4 Selve the following problems. Show the step by step process. And write a brief ex- planation of what you do. 1. The width of a bedroom floor is 5 m less than its length and its area is 84 m Find its dimensions. 2. A certain pipe can fill up a tank 2 hours faster than another pipe. It takes 3 and hours for both pipes to fill up the same tank. In how many hours would the first pipe fill up the tank? 3. A picture frame has its length 8 cm longer than its width. It has an inner 1-em boundary such that a maximum 660 cm-picture may fit into it. Find the dimensions of this frame. 4. After how many seconds is needed for a thrown ball to reach a 14-m distance if its distance is given by the relation d- 10+ 40t - 5t7 (t-time in seconds).
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