9. Sanjay has a square mirror measuring 10 cm by 10 cm . Silvie has a square mirror which covers twice the area of Sanjay's mirror. Determine the dimensions of Silvie's mirror correct to 2 decimal places.

Question

UpStudy AI · Accepted Answer

To find the dimensions of Silvie's mirror, we first need to calculate the area of Sanjay's mirror.

Sanjay's mirror is a square with each side measuring 10 cm. The area $$ A $$ of a square is given by the formula:

$$
A = \text{side}^2
$$

For Sanjay's mirror:

$$
A = 10 \, \text{cm} \times 10 \, \text{cm} = 100 \, \text{cm}^2
$$

Silvie's mirror covers twice the area of Sanjay's mirror, so we calculate the area of Silvie's mirror:

$$
\text{Area of Silvie's mirror} = 2 \times 100 \, \text{cm}^2 = 200 \, \text{cm}^2
$$

Now, let $$ s $$ be the length of one side of Silvie's square mirror. The area of Silvie's mirror can also be expressed as:

$$
s^2 = 200 \, \text{cm}^2
$$

To find $$ s $$, we take the square root of both sides:

$$
s = \sqrt{200}
$$

Calculating $$ \sqrt{200} $$:

$$
s \approx 14.1421356237 \, \text{cm}
$$

Rounding to two decimal places:

$$
s \approx 14.14 \, \text{cm}
$$

Thus, the dimensions of Silvie's mirror are approximately $$ 14.14 \, \text{cm} $$ by $$ 14.14 \, \text{cm} $$.
The dimensions of Silvie's mirror are approximately 14.14 cm by 14.14 cm.

9. Sanjay has a square mirror measuring 10 cm by 10 cm . Silvie has a square mirror which covers twice the area of Sanjay's mirror. Determine the dimensions of Silvie's mirror correct to 2 decimal places.

Real Tutor Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Geometry Questions