∑ Hey, shanellmccullough ⊃
Answer:
(a) Width of the garden : 64 m
(b) Length of the window: 95 cm
Step-by-step explanation:
<u><em>Given:</em></u>
(a) The perimeter of a rectangular garden is 306 m. If the length of the garden is 89 m, what is its width?
(b) The area of a rectangular window is 5130 cm². If the width of the window is 54 cm, what is its length?
<u><em>Solve:</em></u>
(a) The perimeter of a rectangular garden is 306 m. If the length of the garden is 89 m, what is its width?
Formula for perimeter: P = (L + W) × 2
Which;
P = Perimeter
L = Length
W = Width
Which also could be written as:
L + L + W + W = P
Hence, since it given that;
306 = P and L = 89
Then
We know that ;
89L + 89L + W + W = 306
So we can add 89 + 89 or 89 × 2
which is 178
Now we know that;
178 + 2w = 306
Solving for 2w:
178 + 2w = 306
178-178 + 2w = 306 - 178
2w = 128
W = 64
Hence, width is 64.
Check Answer:
64 × 2 + 89 × 2 = 306
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(b) The area of a rectangular window is 5130 cm². If the width of the window is 54 cm, what is its length?
Formula for area: A = Lw
Which;
A = Area
L = Length
W = Width
So, since we know the width we can just do 5130/54 to find Length
5130/54 = 95
Hence, the length of the window is 95 cm.
Check Answer :
A = Lw
A = 95 × 54
A = 5130 cm²
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<u><em>xcookiex12</em></u>
<u><em></em></u>
<em>8/18/2022</em>
