zamanmutasim4
Answered

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please explain fully and i give brainiest thanks and 5 stars

Please Explain Fully And I Give Brainiest Thanks And 5 Stars class=

Sagot :

Corsaquix

Answer:

[tex]a=7,\\b=3[/tex]

Step-by-step explanation:

The area of a rectangle is equal to [tex]A=l\cdot w[/tex], where [tex]l[/tex] is the length of the rectangle and [tex]w[/tex] is the width of the rectangle. In a rectangle, opposite sides are equal.

Therefore, we can write the following system of equations:

[tex]\begin{cases}a\cdot (9+b)=84,\\a\cdot b=21\end{cases}[/tex]

Expand the first equation:

[tex]9a+ab=84[/tex]

Substitute the second equation into the first ([tex]ab=21[/tex]):

[tex]9a+21=84,\\9a=63,\\a=\boxed{7}[/tex]

Solving for [tex]b[/tex]:

[tex]7b=21,\\b=\frac{21}{7}=\boxed{3}[/tex]

bhadelsimron19

Answer:

Step-by-step explanation:

Hope this helps u!!

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