It is given that area of rectangle of Kaitlin is 1500 sq.ft. with length 50 ft and a width of 30 ft.
The new area when new length 2 times the current length and the new width 2 times the current width.
![A=(50*2)*(30*2)=100*60=6000ft^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/pmau4claqxc6g7xkog1a20mzyhy5xd22u4.png)
a. The size of Kaitlin new patio is
![100*60=6000ft^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/8jw1376ha21fjo03oiiyssgrn5x0rwh9i0.png)
b. The area of new patio is 4 times the area of current patio.
![1500*4=6000ft^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/tq3lgjudgtw179i5xno5m5gepfe3vrchc8.png)