Set 57
- P= 6x+ 4y. Add all of the sides together and combine like terms:
P= 6x+ 4y; y+ x+ (3y– 2) + (x+ 3) + (2x– 1) + 2x= 6x+ 4y - p= 50. Using your knowledge of rectangles and their congruent
sides, you find the measure of each exterior side not given. To find
the perimeter, you add the measure of each exterior side together.
1 + 6 + 1 + 6 + 1 + 4 + 1 + 4 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 3 + 3 + 5
+ 5 = 50.- p= 34 + 4 5 .First, find the hypotenuse of at least one of the two
congruent triangles using the Pythagorean theorem: 2^2 + 4^2 = c^2.
42 + 16^2 = c^2. 20 = c^2. 2 5 = c. Add the measure of each exterior
side together: 2 + 5 + 2 + 2 + 2 + 2 +2 + 5 + 2 + 2 5 + 4 + 2 + 4 +
2 5 = 34 + 4 5 . - p= 32 + 2 5 .First find the hypotenuse of at least one of the two
congruent triangles using the Pythagorean theorem: 1^2 + 2^2 = c^2.
1 + 4 = c^2. 5 = c. Add the measure of each exterior side together.
2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 5 +
5 = 32 + 2 5 .
Set 58
- y= 4 13 .CGand BHare congruent because the opposite sides
of a rectangle are congruent. Plug the measurements of ΔABH
into the Pythagorean theorem: 12^2 + 8^2 = y^2. 144 + 64 = y^2.
208 = y^2. 4 13 = y. - p= 48 + 8 13 .Figure ABDE is an isosceles trapezoid; ABis
congruent to ED. Add the measurements of each exterior line
segment together: 6 + 6 + 4 13 + 12 + 6 + 6 + 12 + 4 13 =
48 + 8 13 .
501 Geometry Questions