Amy had homework for math,science,and history.she spent 1/3 of her time working on math and 1/4 of her time working on science.

part a: amy estimated that she spent 1/7 of her time on both math and science homework. without doing any calculations, determine whether or not amy's estimate is accurate and explain why or why not.

Hi there!

Find the total area by breaking the figure into two rectangles, one trapezoid, and one triangle.

Rectangles:

A = l × w

A = 2.75 × 4 = 11 in²

Solve for the other rectangle's length by subtracting from the total:

12 - 2 - 3 - 4 = 3

A = 3 × 3 = 9 in²

Total rectangle area: 11 + 9 = 20 in²

Trapezoid:

A = 1/2(b1 + b2)h

A = 1/2(4.25 + 2.75)3 = 21/2 = 10.5 in²

Triangle:

A = 1/2(bh)

A = 1/2(2.5 · 2) = 2.5 in²

Add up all of the areas:

20 + 10.5 + 2.5 = 33 in²