Question

You are making a baby blanket that has a
center rectangle which measures 15 inches
by 20 inches. It will be bordered by trim
on all sides. If the trim is x inches wide,
write a simplified polynomial to represent
the area of the blanket.

Answer 1

Answer:

$(20+2x)*(15+2x)$

Step-by-step explanation:

Given, without the trim,

Length of the center rectangle = 20 inches.

Breadth of the center rectangle = 15 inches.

Since an x inches wide trim would border the rectangle to make up the blanket,

Length of the blanket = Length of the centre rectangle + 2 * width of the trim (since it'll border the rectangle from all sides) = $20+x+x$  inches = $20+2x$ inches

Similarly, length of the blanket =$15+x+x$ = $15+2x$ inches

We know that,

Area of a rectangle =  Length * Breadth

Therefore,

Area of the blanket = $(20+2x) * (15+2x)$