Geometry Word Problems

Topics

Try VividMath Premium to unlock full access

Start Free Trial

Time limit: 0

Quiz summary

0 of 2 questions completed

Questions:

Information

–

You have already completed the quiz before. Hence you can not start it again.

Quiz is loading...

You must sign in or sign up to start the quiz.

You have to finish following quiz, to start this quiz:

Lets see your results!

Points

Score

Time

Retry Quiz

Answered
Review

Question 1 of 2

1. Question

The perimeter of the plot of land below is

$98$ m

$(i)$ What is the length and width of the land?

$(ii)$ What is the area of the land?

$(i)$ length: (28) $\text(m)$ , width: (21) $\text(m)$

$(ii)$ Area: (588) $\text(m)^2$

Hint

Help Video

Correct

Excellent!

Incorrect

Need Text

Play

Current Time 0:00

Duration Time 0:00

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

Video Acceleration:

Off

00:00

Mute

Playback Rate

2x
1.5x
1.25x
1x
0.75x
0.5x

Subtitles

subtitles off

Captions

captions off
English

Chapters

Chapters

A word problem can be translated into an equation for easier solving.

Perimeter of a Rectangle

$P=2l+2w$

Area of a Rectangle

$A=lw$

$(i)$ Find the length and width of the land.

Slot in the given values into the Perimeter Formula to form an equation

$P=98$

$l=x+7$

$w=x$

$P$	$=$	$2l+2w$	Perimeter Formula
$98$	$=$	$2(x+7)+2(x)$

Solve for

$x$

$98$	$=$	$2(x+7)+2(x)$
$98$	$=$	$2x+14+2x$
$98$	$=$	$4x+14$
$4x+14$	$=$	$98$
$4x+14$ $-14$	$=$	$98$ $-14$	Subtract $14$ from both sides
$4x$	$=$	$84$
$4x$ $-:4$	$=$	$84$ $-:4$	Divide both sides by $4$
$x$	$=$	$21$ m	width of the land

Solve for

$x+7$

	$x+7$
$=$	$21+7$	Substitute $x$
$=$	$28$ m	length of the land

$(ii)$ Find the area of the land.

Slot in the values from part

$(i)$ into the Area Formula

$l=28$ m

$w=21$ m

$A$	$=$	$lw$	Area Formula
	$=$	$(28)(21)$
	$=$	$588\text(m)^2$

$(i)$ length:

$28$ m, width:

$21$ m

$(ii)$ Area:

$588\text(m)^2$

Question 2 of 2

2. Question

Find the size of each angle in this triangle:

$3x=$ (51) $°$

$3x+12=$ (63) $°$

$4x-2=$ (66) $°$

Hint

Help Video

Correct

Well Done!

Incorrect

Need Text

Play

Current Time 0:00

Duration Time 0:00

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

Video Acceleration:

Off

00:00

Mute

Playback Rate

2x
1.5x
1.25x
1x
0.75x
0.5x

Subtitles

subtitles off

Captions

captions off
English

Chapters

Chapters

A word problem can be translated into an equation for easier solving.

Form an equation using the values given

Remember that the sum of all interior angles in a triangle is

$180°$

Angle

$1$ :

$3x$

Angle

$2$ :

$3x+12$

Angle

$3$ :

$4x-2$

Angle $1+$ Angle $2+$ Angle $3$	$=$	$180°$
$3x+(3x+12)+(4x-2)$	$=$	$180°$

Solve for

$x$

$3x+(3x+12)+(4x-2)$	$=$	$180°$
$10x+10$	$=$	$180$
$10x+10$ $-10$	$=$	$180$ $-10$	Subtract $10$ from both sides
$10x$	$=$	$170$
$10x$ $-:10$	$=$	$170$ $-:10$	Divide both sides by $10$
$x$	$=$	$17$

Solve for the size of each angle

Angle

$1$ :

		$3x$
	$=$	$3(17)$
	$=$	$51°$

Angle

$2$ :

		$3x+12$
	$=$	$3(17)+12$
	$=$	$51+12$
	$=$	$63°$

Angle

$3$ :

		$4x-2$
	$=$	$4(17)-2$
	$=$	$68-2$
	$=$	$66°$

Angle

$1$ :

$51°$

Angle

$2$ :

$63°$

Angle

$3$ :

$66°$

Quizzes

Digit Word Problems
Measurement Word Problems
Money Word Problems
Age Word Problems
Probability Word Problems
Geometry Word Problems
Proportion Word Problems