Question

if P is the perimeter of rectangle Q What is the value of P ?
(A) Each diagonal of rectangle Q has length 10
(B) the area of rectangle Q is 48 .​

Answer 1

(1)+(2) Square P --> P2=4(a2+b2+2ab)P2=4(a2+b2+2ab). Now as from (1) a2+b2=100a2+b2=100 and from (2) ab=48ab=48, then P2=4(a2+b2+2ab)=4(100+2∗48)=4∗196P2=4(a2+b2+2ab)=4(100+2∗48)=4∗196 --> P=4∗196−−−−−−√=2∗14=28P=4∗196=2∗14=28. Sufficient.

Answer: C.