algebra 1 word problem?

Question

A trapezoid has bases of length x meters and (x+6) meters. Its height is 4 meters. Find the lengths of the bases if the area is 64 square meters. The formula for the area of a trapezoid is : 1/2 (base + base)h

Answer 1

plug the lengths into the equation

1/2(x+x+6)4

combine like terms

1/2(2x+6)4

multiply inside the parenthesis

(x+3)4

multiply

4x+12=64

subtract 12

4x=52

divide by 4

x=13, so one side is 13

the other side is "+6+ so it's 19

the length of the bases are "13" and "19"

Answer 2

Area = 1/2 (base + base)h
64 = 1/2(x + x + 6)4
64 = (2x + 6)2
64 = 2(x + 3)2
64 = 4(x + 3)
x + 3 = 64/4
x + 3 = 16
x = 16 - 3
x = 13

There the length of the bases are x = 13 and x+6 = 19

Answer 3

average of bases is x+3. This time height = 64, so x+3 = 16 and x = 13

Answer 4

(x+x+6) *4 * 1/2 = 64
(2x + 6) *2 =64
4x + 12 =64
4 x = 52
x = 13


x is 13 and x+6 is 19

Answer 5

A = (1/2).[ x + (x + 6) ] x 4 m²
A = 2.(2x + 6) m²
A = 4x + 12 m²
4x + 12 = 64
4x = 52
x = 13
Bases are 13m and 19m

Answer 6

First, look into what you're asked to discover, the as quickly as a year fee of interest it is 'r' interior the equation you're given. the subsequent step is to set up the equation in appreciate to r. r=..... thus the equation would be r=I/pt. interior the question it states, 'you invested $1200' it is 'p' interior the equation. hence p=$1200 the subsequent component of the question says 'for a era of six years' it is 't' interior the equation. hence t=6 The final component of the equation is 'earned $396 common interest' it is 'I' interior the equation. hence I=$369 Then it particularly is in simple terms putting all of this into the equation we've rearranged. So if r=I/pt then r=$369/(6x$1200) Answ: r=0.05125 bear in mind, you're continuously given sufficient counsel interior the question to get the respond. If it helps precise down what counsel you comprehend from th question formerly you attempt to respond to it. wish this helped!