Mathematics
19.09.2020 07:55
152
411
6
Solved by an expert

Jacob s little brother thinks that he could design a better lion enclosure than

Jacob's little brother thinks that he could design a better lion enclosure than the one he sees at the zoo. He makes a drawing of his new and improved enclosure where every inch represents 25 feet. In his drawing the length of the rectangle is 7 ¼ inches. What is the actual length of the lion enclosure? The diagonal of the rectangle in his drawing is 10 ½ inches. What is the width of the enclosure in feet? What is the area of the enclosure in square feet?
Show Answers
gonzalesnik
gonzalesnik
4,4(98 marks)

Step-by-step explanation:

Length

1 inch = 25 feet

7 1/4 inches = x feet

1 * x = 25 * 7 1/4

x = 25 * 7.25

Length = 181.25 feet

The length is 181.25

hypotenuse length

The diagonal = 10 1/2 inches

The diagonal = 10.5 inches

hypotenuse = 10.5 * 25 = 262.5 feet

Width

L^2 + W^2 = Diagonal^2

181.25² + W² = 262.5²

32851.5625 + W²  =  68906.25   Subtract 32851.5625 from both sides

W² =  68906.25 - 32851.5625

W^2 = 36054.6875                       Take the square root of both sides

W = 189.88

Area

Area = L * W

Area = 181.25 * 189.88

Area = 34415.88 square feet.

burntquesadilla
burntquesadilla
4,5(62 marks)
First you will reduce simplify
Then simplify the expression
And then you can calculate to find the answer
Ps. Just use photomath
How do u solve this??​

Popular Questions about the subject: Mathematics

How can you differentiate between a geometric sequence and an arithmetic...
Mathematics
29.07.2021 13:09
What is the exponential form of log 7 44=y...
Mathematics
26.06.2021 09:25
48 over 100 as a fraction in simplest form...
Mathematics
12.11.2020 00:42
Choose the algebraic expression for x times 8 is equal to 11 a-...
Mathematics
14.03.2021 11:36
Ubtract -2k3 + k2 - 9 from 5k3 - 3k + 7....
Mathematics
31.07.2022 19:10
Ghlj and gstu are both parallelograms. why is ∠l ≅ ∠t?...
Mathematics
23.05.2022 05:14
Pose a question for which a two-way table is appropriate. be creative...
Mathematics
29.01.2020 00:55

New questions by subject

How are seats in the house of representatives appointed? 1) political...
Social Studies
03.03.2020 01:52
How did the swallow show obedience as the greatest virtue of the...
English
07.06.2021 03:45
#
#
#
#
# #

We expand our knowledge with many expert answers