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3 years ago

I need help ASAP please

Mathematics

1 answer:

Marizza181 [45]3 years ago

8 0

Answer:

use photo math on ur phone in the app store

Step-by-step explanation:

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She should make a rectangle with dimensions 14.4 cm by 4.2 cm.

Step-by-step explanation:

The diagonal of a rectangle is represented by $\sqrt{length^2+width^2}$ .
Area of rectangle is = length×width
Perimeter of a rectangle = 2(length+width).

Assume x be the width of the rectangle.

The length of the rectangle is to be 6 cm more than twice the width.

The length of the rectangle is= (2x+6) cm

Then the diagonal of the rectangle is $\sqrt{length^2+width^2}$

$=\sqrt{(2x+6)^2+x^2}$

$=\sqrt{4x^2+24x+36+x^2}$

$=\sqrt{5x^2+24x+36}$ cm

According to the problem,

$\sqrt{5x^2+24x+36}=15$

Squaring both sides

$\Rightarrow{5x^2+24x+36}=15^2$

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$\Rightarrow{5x^2+24x+36-225=0$

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Since the width of a rectangle can not negative.

So, x=4.2 cm

The width of rectangle is = 4.2 cm

The length of the rectangle is =(2×4.2+6)

=14.4 cm

She should make a rectangle with dimensions 14.4 cm by 4.2 cm.

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