Question

Find the area of trapezoid $DUCK$ shown below. [asy] unitsize(2mm); defaultpen(linewidth(.7pt)+fontsize(10pt)); pair D=(0,0), U=(5,12), C=(20,12), K=(36,0), F=(5,0); draw(D--U--C--K--cycle); draw(U--F,linetype("8 4")); draw(rightanglemark(U,F,K,25)); label("$D$",D,SW); label("$U$",U,N); label("$C$",C,NE); label("$K$",K,SE); label("5",midpoint(D--F),S); label("13",midpoint(D--U),NW); label("15",midpoint(U--C),N); label("20",midpoint(C--K),NE); [/asy]

Answer 1

Answer:

306 sq. units

Step-by-step explanation:

Coordinates of the trapezoid:

• D(0, 0), U(5, 12), C(20, 12), K(36, 0)

Area of trapezoid = 1/2(Base1 + Base2)*Height

Bases have length of:

• 36 - 0= 36 units and
• 20 - 5 = 15 units

Height is:

• 12 - 0 = 12 units

Area:

• 1/2(36+15)*12 = 306 sq. units