Clairekitidn
Answered

Find expert advice and community support for all your questions on IDNLearn.com. Discover thorough and trustworthy answers from our community of knowledgeable professionals, tailored to meet your specific needs.

16. A rectangle of length (4x - 1) cm and breath 2xcm has an area of 10cm2. Find
a Value of x
b. Its length and breath
c. Perimeter​

Sagot :

Choccocakeeidn
a) 2x(4x-1)=10

Expand

8x^2-2x=10

Divide all terms by 2

4x^2-x=5

4x^2-x-5=0

4x^2+4x-5x-5=0

4x(x+1)-5(x+1)=0

(4x-5)(x+1)=0

x is equal to -1 and 5/4

but, in this case, the side of a rectangle cannot be negative, so the only answer that is mathematically possible is 5/4

b) substitute 5/4 into given expressions

length: 4(5/4)-1 which is 4cm

width: 2*5/4 which is 2.5cm

c) plus all four sides together

2.5+2.5+4+4 which is 13cm



We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. IDNLearn.com is committed to your satisfaction. Thank you for visiting, and see you next time for more helpful answers.