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tester [92]
3 years ago
12

Joe’s rectangular garden is 6 meters long and 4 meters wide. He wishes to double the are of his garden by increasing its length

and width by the same amount. Find the number of meters by which each dimension must be increased.
Mathematics
1 answer:
Travka [436]3 years ago
8 0

Answer:

ANSWER: Increase each dimension by 2 meters.

Step-by-step explanation:

L=length; W=width; X=amount of increase; A=area

.

(L+X)(W+X)=2(LW)

(6m+X)(4m+X)=2(6m)(4m)

X^2+10X+24=48

X^2+10X-24=0

(X-2)(X+12)=0

(X-2=0) OR (X+12=0)

X=2 OR X=-12

X=2 meters

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the "10" is the numerator of the fraction.

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\sf f(x)=\dfrac{x}{2}

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Given $dc = 7$, $cb = 8$, $ab = \frac{1}{4}ad$, and $ed = \frac{4}{5}ad$, find $fc$. Express your answer as a decimal.
Pachacha [2.7K]

A ↔ B ↔ C ↔ D ↔ E ↔ F

 \frac{1}{4} AD      8      7      \frac{4}{5} AD   ???

AB + BC + CD = AD   <em>segment addition postulate</em>

\frac{1}{4} AD   +   8   +   7   = AD

\frac{1}{4} AD   +       15        = AD

AD         + 60    = 4AD

                  60    = 3AD

                  20    = AD

AB =  \frac{1}{4} AD    =  \frac{1}{4}(20)    = 5

DE =  \frac{4}{5}AD   =  \frac{4}{5}(5)    = 4

CD + DE + EF = CF   <em>segment addition postulate</em>

7   +   4   + EF  = CF

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The perimeter of a rectangle is 128 cm, and the ratio of its sides is 5: 3. Find the area of ​​a rectangle
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Answer:

Area = 960 cm^2

Step-by-step explanation:

Perimeter (P) = 2 (l + w)

P = 2l + 2w

Let the length be 5x

Let the width be 3x

From the question, P = 128.

Therefore:

128 = 2l + 2w

Divide both sides by 2.

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Area = 40 * 24

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