Mathematics, 21.06.2019 12:30 ulilliareinhart2

What is the approximate total length of iron edging needed to create the square frame and the two diagonals?

Answers: 3

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Answer from: jennysantoyo13

43.5 inches

Step-by-step explanation:

we know that

The approximate total length of iron edging needed to create the square frame and the two diagonals is given by the formula

L=4b+2d

where

b is the length side of the square

d is the diagonal of the square

we have

$d=9\ in$ ----> given problem

Find the value of b

Remember that the diagonal in a square is given by

$d=b\sqrt{2}\ in$

substitute the given value of d

$9=b\sqrt{2}$

solve for b

$b=\frac{9}{\sqrt{2}}\ in$

Find the total length

$L=4(\frac{9}{\sqrt{2}})+2(9)=43.5\ in$

Answer from: kaleabussell9

answer: Option A

Step-by-step explanation:

Given that a square stained glass window is divided into four congruent triangular sections by iron edging to represent the seasons of the year

Each diagonal = 9 inches

Using Pythagorean theorem for right triangle with two sides and one diagonal we get

Iron rods needed for square with two diagonals

= perimeter of square + length of 2 diagonals

=4s+2d

=4(6.363)+2(9)

=43.452

Rounding off gives

43.5 inches Option A

Answer from: alexabdercmur

Option A

Step-by-step explanation:

Given that a square stained glass window is divided into four congruent triangular sections by iron edging to represent the seasons of the year

Each diagonal = 9 inches

Using Pythagorean theorem for right triangle with two sides and one diagonal we get

$9^2 = 2s^2\\s=\frac{9}{\sqrt{2} } =4.5(0.707)\\=6.363$

Iron rods needed for square with two diagonals

= perimeter of square + length of 2 diagonals

=4s+2d

=4(6.363)+2(9)

=43.452

Rounding off gives

43.5 inches Option A

Answer from: marie003

Step-by-step explanation:

A square stained glass window is divided into four congruent triangular sections by iron edging to represent the seasons of the year. each diagonal of the square window measures 9 inches. what is the approximate total length of iron edging needed to create the square frame and the two diagonals? 43.5 inches 50.9 inches 54.0 inches 61.5 inches.

43.5 inches 50.9 inches 54.0 inches 61.5 inches.

Answer from: 3kp

The correct answer is 43.44 inches.

Step-by-step explanation:

The diagonal of square = 9 inches

let the sides of the square be x

On applying Pythagoras theorem in Δ ABC

AB^2+BC^2=AC^2

AB = BC = x

x^2+x^2=9^2

$x=\frac{9}{\sqrt{2}}=6.36 inches$

Diagonals of the square bisect each other.

OC = OA = 4.5 inches and OB = OD = 4.5 inches

Total length of iron edge required for window :

=4 × Length of square + 2 diagonals

= 4 × 6.36 + 2 × 9 = 43.44 inches

The closest answer from the given options is 43.44 inches.

Asquare stained glass window is divided into four congruent triangular sections by iron edging to re

Answer from: zel117

Diagonal of the square (d):
d = a · √2 = a · 1.414 ( a is a length of a side of the square )
a = 9 : 1.414 = 6.365 inches
Total length:
4 · a + 2 · d = 4 · 6.365 + 2 · 9 = 25.46 + 18 = 43.46 ≈ 43.5 inches.
A ) 43.5

Answer from: khehnai

Just add all four sides up. Make a template of what you need the template will give you all your dimensions

Answer from: pauliavargas4184

Using the pythagoras theorem if the length of each side of the square is x:
2x^2 = 9^2 = 81
x = sqrt40.5 = 6.364 in

so the total of iron strip needed = 4*6.364 + 2*9 = 43.5 ins to nearest tenth

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