Xavier Designs has the logo shown below on their office door. The logo has two smaller congruent triangles that are similar to two larger congruent triangles.
https://app42.studyisland.com/pics/129363num2pic1.png

If w = 11.25 inches, x = 15 inches, y = 4.5 inches, a = 18 inches, and b = 18 inches, what is the area of the space around the triangles on the logo?
253.6875 in2
208.6875 in2
140.625 in2
183.375 in2

Question

Xavier Designs has the logo shown below on their office door. The logo has two smaller congruent triangles that are similar to two larger congruent triangles.
https://app42.studyisland.com/pics/129363num2pic1.png

If w = 11.25 inches, x = 15 inches, y = 4.5 inches, a = 18 inches, and b = 18 inches, what is the area of the space around the triangles on the logo?
253.6875 in2
208.6875 in2
140.625 in2
183.375 in2

ganpat · Answer

AREA of the space = Area of square - sum of Area of all the triangles. 

Area of the square = a * b
Area of the triangle = (1/2) * b * h