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3 years ago

A large rectangle has length a + b and width c + d. Therefore, its area is (a + b)(c + d).

Mathematics

1 answer:

melamori03 [73]3 years ago

6 0

Answer:

The area of four small rectangles are ac, bc, ad and bd.

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A rectangular pool has dimensions of 40 ft. and 60 ft. The pool has a patio area around it that is the same width on all sides.I

ladessa [460]

Area of pool edge = Area of big rectangle - Area of the pool

Area of pool edge = Area of the pool = 40 × 60 = 2400 ft²

2400 = Area of big rectangle - 2400
Area of big rectangle = 2400 + 2400
Area of big rectangle = 4800

Length × width = 4800

From the diagram, we need the length to be [x + x] more than the length of the pool, where x is the distance from the pool edge to the patio edge.

We also need the width of the big rectangle to be [[x + x] more than the width of the pool.

Length = 60 + 2x
Width = 40 + 2x

Length × Width = [60+2x] × [40+2x]
4800 = 2400 + 120x + 80x + 4x²
0 = 4x² + 200x - 2400
0 = 4[x² + 50x - 600]
0 = x² + 50x - 600
0 = [x - 60] [x + 10]

x - 60 = 0 OR x + 10 = 0
x = 60 OR x = -10

We can only use the positive value of x since the context is length

Hence, x = 60

7 0

4 years ago

Read 2 more answers

INPUT SU,0 IF OFF OUTPUT M,0 OUTPUT T,0 OUTPUT W,0 OUTPUT TH,0 OUTPUT F,0 ELSE ON OUTPUT M,0 OUTPUT T,0 OUTPUT W,0 OUTPUT TH,0 O

Karo-lina-s [1.5K]

Why’s it in all caps and what’s the question this doesn’t look like a math equation

3 0

3 years ago

What is the area of the triangle

sasho [114]

Answer:

20in

Step-by-step explanation:

8 0

3 years ago

19,432÷x=48 Remainder 232 (Plz help its for my hw that's due tmrw)

Neko [114]

Answer:

x = 404.83

Step-by-step explanation:

The given expression is :

19,432÷x=48 ...(1)

We need to find the value of x.

$\dfrac{19,432}{x}=48$

Cross multiplying both sides,

$19,432=48x$

Dividing both sides by 48

$\dfrac{19,432}{48}=x\\\\x=404.83$

So, the value of x is 404.83.

4 0

2 years ago

Read 2 more answers

Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram A

valentina_108 [34]

<h3><u>Answer:</u></h3>

The formula determine the distance from C to D is:

$\sqrt{(0-a)^2+(-b)^2}=\sqrt{a^2}=a$

<h3><u>Step-by-step explanation:</u></h3>

The formula that can be used to determine the distance from point C to point D is:

$\sqrt{(0-a)^2+(-b)^2}=\sqrt{a^2}=a$

We know that distance between two points A(a,b) and B(c,d) is equal to the length of the line segment AB and is calculated by the help of the formula:

$\sqrt{(c-a)^2+(b-d)^2}$

So, here we have:

(a,b)=(a,b) and (c,d)=(0,b)

3 0

3 years ago