Jim owns a square piece of land with a side length of a metres. He extends his property by purchasing adjacent land so that the length is increased by 10 m and the width by 12 m. Write an algebraic expression for the area of Jim’s extended property.
new length = a+10
new width = a+1
New area = (a+10)(a+12)
A square piece of land with a length of 10 m
To find the area of Jim's extended property, we need to multiply the length by the width.
The initial side length of Jim's square land is "a" meters. After extending the property, the new length is increased by 10 meters, making it (a + 10) meters. The width is increased by 12 meters, making it (a + 12) meters.
So, the algebraic expression for the area of Jim's extended property is:
Area = (a + 10)(a + 12) square meters.
To find the area of Jim's extended property, we need to know the length and width of the extended land.
Given that the original square piece of land has a side length of "a" meters, the length of the extended land is "a + 10" meters, and the width is "a + 12" meters.
The area of a rectangle is calculated by multiplying the length by the width. So, the algebraic expression for the area of Jim's extended property is:
Area = (a + 10)(a + 12)
Simplifying this expression will give us the final result.