Find the perimeter and the area of a rectangle that has a length of 7 feet and a width of 4 feet?

2 answers:

6 0

Hello!

REVIEW
Perimeter is the distance around a shape. To calculate perimeter, you do: 2l + 2w

Area is calculated by multiplying the length and width together.

Perimeter

The length is 7. 2l = 2 × 7 = 14
The width is 4. 2w = 2 × 4 = 8

Add together

14 + 8 = 22

$\framebox{The perimeter is 22 feet}$

Area

The length is 7, and the width is 4.

7 × 4 = 28

$\framebox {The area is 28 feet}$

lbvjy [14]3 years ago

4 0

Formula for P: P = 2W + 2L
Formula for A: A = WL

Here, P = 2(4 ft) + 2(7 ft) = (8+14) ft = 22 ft
and A = (4 ft)(7 ft) = 28 ft^2

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6 0

3 years ago

Solve and graph the compound inequalities. (You don’t need to graph it on a line plot but if you could that would be great!)

lidiya [134]

Part A

$-12 < 5x - 2 < 13\\\\-12+2 < 5x - 2+2 < 13+2 \ \text{ ... add 2 to all sides}\\\\-10 < 5x < 15\\\\-10/5 < 5x/5 < 15/5 \ \text{ ... divide all sides by 5 to isolate x}\\\\-2 < x < 3\\\\$

To graph this, we plot open holes at -2 and 3 on the number line. Shade between these open holes to represent values between -2 and 3, but we don't include the endpoints.

See figure 1 below.

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Part B

Solve the first inequality to get

$3x < -9\\\\3x/3 < -9/3\\\\x < -3\\\\$

Now solve the second inequality

$2x \ge x+1\\\\2x-x \ge x+1-x\\\\x \ge 1\\\\$

We have $x < -3 \ \text{ or } \ x \ge 1$

The graph will have an open hole at -3 and a closed/filled in circle at 1. We shade everywhere but the region between these marked values. The left portion in blue represents stuff smaller than -3; the right portion in red represents values equal to 1 or larger.

See figure 2 below.