Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Keala is making a new book cover before giving their favorite picture book to their little brother. The cover is 22(1)/(4)cm tall. It has a rectangular shape and an area of 890cm^(2).
How wide across is Keala's book cover?

◻ cm

Keala is making a new book cover before giving their favorite picture book to their little brother. The cover is $22\frac{1}{4}\,\text{cm}$ tall. It has a rectangular shape and an area of $890\,\text{cm}^2$ . $\newline$ How wide across is Keala's book cover? $\newline$ $\square \,\text{cm}$

View step-by-step help

View step-by-step help

Area and perimeter: word problems

Full solution

Q. Keala is making a new book cover before giving their favorite picture book to their little brother. The cover is

22\frac{1}{4}\,\text{cm}

tall. It has a rectangular shape and an area of

890\,\text{cm}^2

.

\newline

How wide across is Keala's book cover?

\newline

\square \,\text{cm}

Define width: Let $w$ be the width of the book cover. $\newline$ Area of a rectangle is given by the formula $\text{Area} = \text{length} \times \text{width}$ .
Calculate area: Given area of the book cover: $890 \, \text{cm}^2$ . Given length of the book cover: $22 \frac{1}{4} \, \text{cm}$ or $22.25 \, \text{cm}$ . Substitute the given values into the area formula. $890 = 22.25 \times w$
Substitute values: Solve for $w$ . $w = \frac{890}{22.25}$ $w = 40 \, \text{cm}$

More problems from Area and perimeter: word problems

Question

A square window has a perimeter of \(136\) inches. How long is each side?

\newline

\_\_\_\_\_

Posted 1 month ago

Question

What is the greatest possible error for a measurement of

2

\newline

\_\_\_

Posted 2 months ago

Question

What is the percent error for a measurement of

5

?

\newline

If needed, round your answer to the nearest hundredth of a percent.

\newline

\newline

Posted 1 month ago

Question

Which measurement is more precise?

\newline

\newline

29.4

\newline

31

Posted 2 months ago

Question

A new dictionary in the shape of a rectangular prism will have a thickness of

3

inches (in). The volume of the dictionary will be

216 \mathrm{in}^{3}

. What must be the area of the front cover, a face perpendicular to the thickness, in square inches?

Posted 4 months ago

Question

Sako's garden is

6

yards long. What is the length of his garden in feet?

Posted 2 months ago

Question

Avery is designing a large rectangular sign. They want the sign to have an area of

2\,\text{m}^2

\frac{4}{5}\,\text{m}

. How tall should the sign be?

Posted 2 months ago

Question

Find the monthly payment for a

30

100000

4\%

Posted 2 months ago

Question

Gabriel is designing a rectangular planter box for their garden. It needs to cover an area of

15 \frac{1}{2} \text{ m}^2

. Gabriel wants it to be

7 \frac{3}{4}

long. How wide does the planter box need to be?

Posted 2 months ago

Question

An electrician plans to install solar panels on a rectangular section of roof with an area of

180\text{m}^2

. This width of this section of roof is

7\frac{1}{5}

Posted 2 months ago