1. Find the Perimeter and Area of a rectangle with height of 10 in and a base of 4 in.

Perimeter: 28 inches; Area: 40 square inches

Step-by-step explanation:

Perimeter: Add all of the sides of the rectangle up. The length is 10 inches, so add 10 inches and 10 inches together to get 20 inches. The width is 4 inches, so add 4 inches and 4 inches together to get 8 inches. Then, add 20 inches and 8 inches together to find the perimeter, which equals 28 inches.

Area: Multiply the length by the width. The length is 10 inches and the width is 4 inches, so multiply 10 inches by 4 inches to get the square footage, which equals 40 square inches.

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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