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# If the diagonal length of a square is tripled, how much is the increase in the perimeter of that square?

• Réponse publiée par: jemuelpogi

A = 48²

Step-by-step explanation:

1+1+1+1+1+1 I don't the step by step

80

Step-by-step explanation:

L=10 inch

W=8 inch

10×8=80

• Réponse publiée par: kuanjunjunkuan

Square root of 202 square ft

Step-by-step explanation:

I only know this:

a^2+b^2=c^2

In this problem, a would be 9 ft and b would be 11 ft.

(9 ft) ^2+(11 ft) ^2=c^2

81 square ft+121 square ft=202 square feet

If c^2=202 square ft and c is the diagonal length, then c would be the square root of 202.

Not sure if this the answer you were looking for but hope this helps.

• Réponse publiée par: batopusong81

the length of the rectangle is 20 cm

Step-by-step explanation:

DIAGONAL, in geometry, is the line which joins two nonconsecutive vertices of a polygon. NONCONSECUTIVE means that the vertices are not following continuously with one another. But in squares, rectangles, rhombus, and rhomboid, it is simply the line which joins their opposite vertices.

If we are to draw a rectangle, refer to the illustration provided, we can see that there are 2 pairs of equal sides, and 4 90-degree angles.

We know that the length is the longer side of any rectangle. So according to the problem, we have L as the unknown, W as 15cm, and 25 cm as the diagonal.

As shown, there is a right triangle formed through the length, width and the diagonal of the rectangle.

Recall that the sides of a right triangle can be determined by the PYTHAGOREAN THEOREM

c^2 = a^2 + b^2

Where c is the length of the longest side;

a and b as the lengths of the other two sides;

and a,b and c are all real numbers.

We have D as the diagonal;

W as a; and

L as b

Substituting the values to the equation, we have

c^2 = a^2 + b^2

(25cm)^2 = (a^2) + (15cm)^2

Simplifying, we have

625 cm^2 = a^2 + 225cm^2

Transposing 225cm^2 to the left, we have

625cm^2 - 225cm^2 = a^2

a^2 = 400cm^2

Getting the square root of both sides, we have

a = 20cm

Therefore, the length of the rectangle is 20 cm.

For more related problems, see links below.

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If the diagonal length of a square is tripled, how much is the increase in the perimeter of that squ...