There is a rectangular lot in the garden, with 6 ft in length and 4 ft in width. You plan to expand the lot by an equal length a

Question

3 years ago

12

There is a rectangular lot in the garden, with 6 ft in length and 4 ft in width. You plan to expand the lot by an equal length a

round its four sides, and make the area of the expanded rectangle 48 ft^2. How long should you expand the original lot in four directions?
You should expand the original lot by…
Please type ft to represent feet.

Mathematics

2 answers:

Bingel [31] · Answer 1 · 2022-08-26T08:04:55+03:00

Bingel [31]3 years ago

8 0

Answer:

2 ft

Step-by-step explanation:

<u>Given:</u>

l = 6 ft
w = 4 ft
Extended area = 48 ft²
Extension= x

(6 + x)(4 + x) = 48
x² + 10x + 24 = 48
x² + 10x + 25 = 49
(x + 5)² = 49
x + 5 = 7
x = 7 - 5
x = 2

zheka24 [161] · Answer 2 · 2022-08-26T05:41:59+03:00

zheka24 [161]3 years ago

3 0

So the amount you are increasing it by is equal on both sides. Firstly let’s look at the factors of 48, (1,2,3,4,6,8,12,16,24 and 48) the only factors that are can be equal increase from 4 and 6 is by 2 ft giving us a length of 8 and a width of 6