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SIZIF [17.4K]
3 years ago
11

Adina has a rectangular garden that measures 9 m wide by 13 m long. She wants to

Mathematics
2 answers:
maks197457 [2]3 years ago
8 0

Answer: 16 m by 12 m.

Step-by-step explanation:

Given: The length of garden l = 13 m

The width of the garden w= 9 m

The area of the rectangular garden is given by :-

\text{Area}=l\times w\\\Rightarrow\text{Area}=13\times9\\\Rightarrow\text{Area}=117\ m^2

It she wants to increase the garden,  the dimensions of the new garden will be (13+x) m by (9+x) m , then according to the question we have :-

(13+x)\cdot(9+x)=192\\\Rightarrow\ 117+x^2+22x=192\\\Rightarrow\ x^2+22x=75\\\Rightarrow\ x^2+22x-75=0\\\Rightarrow\ x^2+25x-3x-75=0\\\Rightarrow\ x(x+25)-3(x+25)=0\\\Rightarrow\ (x+25)(x-3)=0\\\Rightarrow\ x=-25\ x=3

Since, x\neq-25

Hence, x=3

Therefore, the  dimensions of the new garden will be (13+3) m by (9+3) m=16 m by 12 m.

MrRissso [65]3 years ago
6 0
9*13=117
12*16=192

We increased three meters to both the length and width of the garden.
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