When making a book cover, Anwar adds an additional 20 square inches to the surface area to allow for overlap. How many square in
1 answer:
Answer:
234 square inches
Step-by-step explanation:
We are given that
Length of book, l=11 in
Width of book, w=8 in
Height of book, h=1in
Additional area required to overlap=20 square inches
We have to find how many square inches of paper to make cover of one book.
We know that surface area of cuboid
Using the formula
Surface area of book
Total paper used to make cover of one book
=Surface area of book +additional surface area
=
Hence, Anwar will use paper to make cover of one book=234 square inches
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<em><u>Solution:</u></em>
Let "x" be the number of spelling word questions
Let "y" be the number of vocabulary word question
<em><u>There is a total of 26 questions. Therefore, we get</u></em>
number of spelling word questions + number of vocabulary word question = 26
x + y = 26 --------- eqn 1
<em><u>There are spelling word questions that worth 2 points each and vocabulary word question worth 5 points each</u></em>
The language arts test is worth 100 points
Therefore, we frame a equation as:
number of spelling word questions x 2 + number of vocabulary word question x 5 = 100
2x + 5y = 100 --------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
From eqn 1,
x = 26 - y ------- eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
2(26 - y) + 5y = 100
52 - 2y + 5y = 100
3y = 100 - 52
3y = 48
<h3>y = 16</h3><em><u>Substitute y = 16 in eqn 3</u></em>
x = 26 - 16
<h3>x = 10</h3>Thus 10 question of spelling words and 16 questions of vocabulary are present