Question

@aajugdar
The base of a particular parallelogram is 8 times its height. If the base and height are doubled, the new area is 384 square inches greater than the area of the original parallelogram. Find the base and height of the original parallelogram.

A. Write the equation for the problem.
B. Solve. Show all work.
C. Name the length of the base and height of the original parallelogram. Remember the labels.

Answer 1

Area = b*h
let h be height of original, that makes the base 8h (8 times the base)
Let h * 8h=A for area of original parallelogram
8h^2=A

The 2nd parallelogram the height is 2h and the base is 16h (doubled) and the area is 384 more than the original area
so 2h*16h=A+384
32h^2 = A+384
32h^2-384=A

Substitute 8h^2 from the first formula for A in the second formula
32h^2-384=8h^2
24h^2=384
h^2=384/24
h^2=16
h=4 original height is 4 which makes the base 32

Answer 2

thats correct

Answer 3

Thnks

Answer 4

Which excerpt from "Yearbooku201d is an example of direct characterization?

Answer 5

If BC = 7 and CD = 24, find AC.

Answer 6

Which of the following best supports your understanding of the denotative meaning of a word?

The denotative meaning of a word communicates all of the feeli

Answer 7

Below are the steps to solve an equation:

Step 1: |x u2212 5| + 2 = 5
Step 2: |x

Answer 8

[GIVEAWAY] Hulu account

Reply here to have a chance of winning.

Answer 9

i need some answers checked

Answer 10

Use the Pythagorean theorem to answer this question. Becca paddles a boat from the south bank of a stream to the north bank.

Answer 11

Enthalpy change depends on the rate at which a substance is heated or cooled.

TR

Answer 12

The amount of energy required to raise the temperature of a swimming pool depends on the mass of water present.

Answer 13

i need my answers checked, please

Answer 14

more answers i need checked

Answer 15

The graph of which function does not contain the point (0, 1)?
A.
y = (3/4)^x
B.
y = -2^x
C.

Answer 16

i need more answers checked

Answer 17

i need someone to check my answers

Answer 18

i need some answers checked

Answer 19

What is the most likely risk when a society uses wind as an energy source?

Answer 20

Greeks propose fundamental substances: earth, air, fire, and water.
2 Many different cultures began to practice alchemy.

Answer 21

i need more answers checked

Answer 22

i need more answers checked

Answer 23

Can someone help me?
Peter and his four brothers combined all of their money to buy a video game.