jamespiramoon381
Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

An envelope has a perimeter of 30 inches. Its area is 50 square inches. What are the dimensions of the
envelope?
inches by
inches

An Envelope Has A Perimeter Of 30 Inches Its Area Is 50 Square Inches What Are The Dimensions Of The Envelope Inches By Inches class=

Sagot :

shaha75

Answer:

10in by 5in

Step-by-step explanation:

PERIMETER: p=2(a+b) p=30

AREA: A=a×b A=50

2(a+b)=30

a×b=50

altavistard

Answer:

The dimensions of the envelope are 5 by 10 inches.

Step-by-step explanation:

Perimeter formula for a rectangle:  P = 2W + 2L

Area formula           '    "          "         A = W*L

Here, P = 2W + 2L, so 30 in = 2W + 2L, or 15 in = W + L

Also, A = W*L, so 50 in^2 = W*L, or (if we solve this for W) W = (50 in)/L

But 15 = W + L, or 15 - L = W.  Substitute this result for W in the equation W = (50 in)/L:  

We get (50 in)/L = 15 - L

Multiplying both sides by L eliminates the fraction:

50 in = 15L - L^2, or

L^2 - 15L + 50 = 0

This factors into (L - 10)(L - 5) = 0, so L is either 10 or 5.  Because 15 - L = W, W is either 10 or 5.

The dimensions of the envelope are 5 by 10 inches.

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.