2 years ago

if the sides of a square are lengthened by 3 m, the area becomes 81 m2. Find the length of a side of the original square.

Mathematics

1 answer:

Varvara68 [4.7K]2 years ago

4 0

Answer:

The length of a side of the original square is 6 meters

Step-by-step explanation:

Let

x ----> the length side of the original square

The area of a square is equal to

$A=b^2$

where

b is the length side of the square

In this problem

The new length side of the square is $b=(x+3)\ m$ and the area is $A=81\ m^2$

$(x+3)^2=81$

solve for x

take square root both sides

$(x+3)=9$

$x=9-3=6\ m$

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snow_lady [41]

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Step-by-step explanation:

$\huge\frac{ - 2 {a}^{ - 3} {b}^{2} }{a} \\ \\ \huge = \frac{ - 2 {b}^{2} }{a \times{a}^{ 3} } \\ \\ \huge = \frac{ - 2 {b}^{2} }{{a}^{ 4} } \\ \\ \huge = \frac{ - 2 \times {3}^{2} }{ {( - 2)}^{4} } \\ \\ \huge= \frac{ - 2 \times 9}{16} \\ \\ \huge \red{= - \frac{9}{8} }$