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Keith_Richards [23]
2 years ago
9

13) A rectangular garden has an area of 45 square meters. The garden will be 4 meters longer than its width Write and sowe an eq

uation to find the dimensions in meters.​
Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
6 0

Answer:

9m ×5m

Step-by-step explanation:

Area of a rectangle= length ×width

Let the width be W meters and the length be L meters.

2 equations can be written from the given information:

45= WL -----(1)

L= W +4 -----(2)

Substitute (2) into (1):

45= W(W +4)

<em>Expand:</em>

45= W² +4W

<em>-45 on both sides:</em>

W² +4W -45= 0

<em>Factorise:</em>

(W +9)(W -5)= 0

W+9=0 or W-5=0

W= -9 or W= 5

(reject)

Substitute W= 5 into (2):

L= 5 +4

L= 9

∴ The dimensions of the garden is 9m ×5m.

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