Question

A trapezoid has an area of 8.1 square meters. If the trapezoid has a base that measures 6.7 meters and a height of 1.5 meters, what is the length of the other base?

Answer 1

Area of a trapezoid is given by the formula:


$A = \frac{1}{2} (a + b)h$



Where:

A = Area

a and b = The parallel sides

h = height



A = 1/2(6.7 + b) x 1.5 = 8.1



0.75(6.7 + b) = 8.1

6.7 + b = 8.1/0.75

6.7 + b = 10.8

b = 10.8 -  6.7

b = 4.1


The other base =  4.1 m

Answer 2

Answer:

Step-by-step explanation:

Here we will use the following equation of motion

S = ut - 0.5gt²

Take g = 10m/s²

S at the 5th seconds is :

S = 5u — 0.5 × 10 × 25

S = 5u — 125

S at the 6th second is :

S = 6u — 0.5 × 10 × 36

S = 6u — 180

Since these displacements are equal :

6u - 180 = 5u - 125

U = 180 - 125 = 55m / s