MATH SOLVE

3 months ago

Q:
# Match the polygons formed by the set of points with their perimetersrounded to the nearest hundredth. Please help ASAP taking a test . Thank you so much in advance

Accepted Solution

A:

Answer:Polygon ABCDE = 50 units Polygon FGHIJ = 23.4 unitsPolygon KLMNO = 19.24 unitsPolygon UVWXY = 38 unitsStep-by-step explanation:In order to find the perimeter, we have to find lengths of all sides of given pointsThe distance formula will be used to find the lengths[tex]d = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2} }[/tex]where (x_1,y_1) are coordinates of first point and (x_2,y_2) are coordinates of second point)So,For A(1,1), B(6,13), C(8,13), D(16,-2) and E(1, -2)AB = 13 unitsBC = 2 unitsCD = 17 unitsDE = 15 unitsEA = 3 unitsPerimeter of polygon ABCDE = 13+2+17+15+3 = 50 unitsFor F(14,-10), G(16,-10), H(19,-6), I(14,-2) and J(11,-6)FG = 2 unitsGH = 5 unitsHI = 6.40 unitsIJ = 5 unitsJF = 5 unitsPerimeter of polygon FGHIJ = 2+5+6.40+5+5 = 23.4 unitsFor K(4,2), L(8,2), M(12,5), N(6,5) and O(4,4)KL = 4 unitsLM = 5 unitsMN = 6 unitsNO = 2.24 unitsOK = 2 unitsPerimeter of polygon KLMNO = 4+5+6+2.24+2 = 19.24 unitsFor P(7,2), Q(12,2), R(12,6), S(7,10) and T(4,6)PQ= 5 unitsQR= 4 unitsRS=6.40 unitsST= 5 unitsTP = 5 unitsPerimeter of polygon PQRST = 5+4+6.40+5+5 = 25.40 unitsFor U(4,-1), V(12, -1), W(20,-7), X(8, -7) and Y(4,-4)UV = 8 unitsVW = 10 unitsWX = 12 unitsXY = 5 unitsYU = 3 unitsPerimeter of polygon UVWXY = 8+10+12+5+3 = 38 units