The area of a trapezoid is 30 square centimeters. The height is 4 centimeters. The shorter base measures 6 centimeters. What is the measure of the longer base? Draw a picture of the problem. Explain your thinking,

Answer:The measure of the longer base is [tex]9\ cm[/tex]The picture of the problem in the attached figureStep-by-step explanation:we know thatThe area of a trapezoid is equal to[tex]A=\frac{1}{2}(b1+b2)h[/tex]whereb1 ----> the measure of the shorter baseb2 ----> the measure of the longer baseh ---> is the heightIn this problem we have[tex]A=30\ cm^{2}[/tex][tex]b1=6\ cm[/tex][tex]h=4\ cm[/tex]substitute the values and solve for b2[tex]30=\frac{1}{2}(6+b2)4[/tex][tex]15=(6+b2)[/tex][tex]b2=15-6=9\ cm[/tex]