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.

A square with diagonals is shown. The diagonals split the square into 4 congruent triangles. The uppercase left triangle is Fall, the uppercase right triangle is winter, the bottom left triangle is summer, and the bottom right triangle is spring.

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

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

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x