Question

What’s the answer help???

Answer 1

a = 5 cm, b = 2 cm.

Explanation:

`\text{We have:}\\\\A_(PQRS)=45\ cm^2\\\\A_(PQRS)=a(7+b)\\\\A_(PXYS)=10\ cm^2\\\\A_(PXYS)=ab\\\\\text{Therefore we have the system of equations:}\\\\\left\{\begin{array}{ccc}a(7+b)=45&\text{use the distributive property}\\ab=10\end{array}\right\\\left\{\begin{array}{ccc}7a+ab=45&(1)\\ab=10&(2)\end{array}\right\\\\\text{Substitute (2) to (1):}\\7a+10=45\qquad\text{subtract 10 from both sides}\\7a=35\qquad\text{divide both sides by 7}\\a=5\\\text{Put it to (2):}\\5b=10\qquad\text{divide both sides by 5}\\b=2`