Solving a system of equations, it is found that since the quadratic equation has two positive roots, they can be the values of the length and the width, and the design is possible.

The perimeter of a rectangle of length l and width w is given by:

$P = 2(l + w)$

The area is:

$A = lw$

In this problem, perimeter of 63.5 m, hence:

$2l + 2w = 63.5$

$2l = 63.5 - 2w$

$l = 31.75 - w$

Area of 225 m², hence:

$lw = 225$

$(31.75 - w)(w) = 225$

$w^2 - 31.75w + 225 = 0$

Which is a quadratic equation with coefficients $a = 1, b = -31.75, c = 225$ .

Then:

$\Delta = b^2 - 4ac = (-31.75)^2 - 4(1)(225) = 108.0625$

$w_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{31.75 + \sqrt{108.0625}}{2} = 21.1$

$w_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{31.75 - \sqrt{108.0625}}{2} = 10.68$

Since the quadratic equation has two positive roots, they can be the values of the length and the width, and the design is possible.

A similar problem is given at brainly.com/question/10489198

6 0

2 years ago

Ana drinks chocolate milk out of glasses that each hold 1/8 of a leader. she has 7/10 of a liter of chocolate milk in her refrig

PIT_PIT [208]

Amount of chocolate milk Ana drinks = $\frac{1}{8}$ liter

Total amount of chocolate milk in refrigerator = $\frac{7}{10}$ liter

We have to determine the total number of glasses she will pour $\frac{1}{8}$ liter of milk from $\frac{7}{10}$ liter of milk.

Total number of glasses will be determined by dividing the total amount of milk by the amount of milk required for one glass

Total number of glasses = $\frac{7}{10} \div \frac{1}{8}$

= $\frac{7}{10} \times 8$

= $\frac{56}{10}$

= 5.6 glasses

So, 5.6 glasses will be poured from the given amount of chocolate milk.

3 0

3 years ago

Plz plz plz plz plz plz help

svetoff [14.1K]

Answer:

49² alternate to 2304

hope it helps

7 0

3 years ago

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